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110021101220121 = 3731383127780253
BaseRepresentation
bin11001000001000001001000…
…101001111111000100011001
3112102112220200201012211101020
4121001001020221333010121
5103410041203403020441
61025554555100113053
732113522311111000
oct3101011051770431
9472486621184336
10110021101220121
1132068761438193
121040a9b0235789
134950c39b66220
141d2509a5a1c37
15cabd7bea5e66
hex641048a7f119

110021101220121 has 128 divisors (see below), whose sum is σ = 187920118579200. Its totient is φ = 56882393213184.

The previous prime is 110021101220099. The next prime is 110021101220123. The reversal of 110021101220121 is 121022101120011.

It is a happy number.

It is not a de Polignac number, because 110021101220121 - 214 = 110021101203737 is a prime.

It is a super-2 number, since 2×1100211012201212 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 110021101220121.

It is not an unprimeable number, because it can be changed into a prime (110021101220123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 140616831 + ... + 141397083.

It is an arithmetic number, because the mean of its divisors is an integer number (1468125926400).

Almost surely, 2110021101220121 is an apocalyptic number.

It is an amenable number.

110021101220121 is a deficient number, since it is larger than the sum of its proper divisors (77899017359079).

110021101220121 is a wasteful number, since it uses less digits than its factorization.

110021101220121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780500 (or 780486 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 110021101220121 its reverse (121022101120011), we get a palindrome (231043202340132).

The spelling of 110021101220121 in words is "one hundred ten trillion, twenty-one billion, one hundred one million, two hundred twenty thousand, one hundred twenty-one".

Divisors: 1 3 7 13 21 39 49 83 91 127 147 249 273 343 381 581 637 889 1029 1079 1651 1743 1911 2667 3237 4067 4459 4953 6223 7553 10541 11557 12201 13377 18669 22659 28469 31623 34671 43561 52871 73787 80899 85407 130683 137033 158613 221361 242697 370097 411099 516509 566293 780253 959231 1110291 1549527 1698879 2340759 2877693 3615563 5461771 6714617 10143289 10846689 16385313 20143851 30429867 38232397 47002319 64760999 71003023 99092131 114697191 141006957 194282997 213009069 267626779 297276393 453326993 497021161 693644917 802880337 841892987 1288197703 1359980979 1491063483 2080934751 2525678961 3173288951 3479148127 3864593109 4855514419 5893250909 8224646873 9017383921 9519866853 10437444381 14566543257 17679752727 22213022657 24673940619 27052151763 33988600933 41252756363 57572528111 63121687447 66639067971 101965802799 106920409349 123758269089 172717584333 189365062341 288769294541 320761228047 403007696777 441851812129 748442865443 866307883623 1209023090331 1325555436387 2245328596329 2821053877439 5239100058101 8463161632317 15717300174303 36673700406707 110021101220121