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110021120002101 = 37116612602127691
BaseRepresentation
bin11001000001000001001001…
…110001101000100000110101
3112102112220202000120001102010
4121001001021301220200311
5103410041223210031401
61025555001010434433
732113522626544650
oct3101011161504065
9472486660501363
10110021120002101
1132068770aa6390
121040a9b6592a19
134950c40a11119
141d2509cc90897
15cabd7d965ed6
hex641049c68835

110021120002101 has 64 divisors (see below), whose sum is σ = 183182595950592. Its totient is φ = 57063108960000.

The previous prime is 110021120002051. The next prime is 110021120002109. The reversal of 110021120002101 is 101200021120011.

It is not a de Polignac number, because 110021120002101 - 214 = 110021119985717 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110021120002109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3973158666 + ... + 3973186356.

It is an arithmetic number, because the mean of its divisors is an integer number (2862228061728).

Almost surely, 2110021120002101 is an apocalyptic number.

110021120002101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110021120002101 is a deficient number, since it is larger than the sum of its proper divisors (73161475948491).

110021120002101 is a wasteful number, since it uses less digits than its factorization.

110021120002101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54394.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 110021120002101 its reverse (101200021120011), we get a palindrome (211221141122112).

The spelling of 110021120002101 in words is "one hundred ten trillion, twenty-one billion, one hundred twenty million, two thousand, one hundred one".

Divisors: 1 3 7 11 21 33 77 231 661 1983 4627 7271 13881 21813 26021 27691 50897 78063 83073 152691 182147 193837 286231 304601 546441 581511 858693 913803 2003617 2132207 6010851 6396621 17199881 18303751 51599643 54911253 120399167 128126257 189198691 201341261 361197501 384378771 567596073 604023783 720547511 1324390837 1409388827 2161642533 3973172511 4228166481 5043832577 7926022621 15131497731 23778067863 55482158347 166446475041 476281904771 1428845714313 3333973333397 5239100952481 10001920000191 15717302857443 36673706667367 110021120002101