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101221011200211 = 37292149191201389
BaseRepresentation
bin10111000000111101011010…
…011010101001100011010011
3111021101122010022022012102120
4113000331122122221203103
5101231401112331401321
6555140142434145323
730214656006121620
oct2700753232514323
9437348108265376
10101221011200211
112a285653aa5a41
12b429387a22243
13446313c7676a6
141add1a1a47347
15ba7ecddbaec6
hex5c0f5a6a98d3

101221011200211 has 96 divisors (see below), whose sum is σ = 161658491904000. Its totient is φ = 55180569776640.

The previous prime is 101221011200209. The next prime is 101221011200237. The reversal of 101221011200211 is 112002110122101.

It is a happy number.

It is not a de Polignac number, because 101221011200211 - 21 = 101221011200209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101221011200201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 502513705 + ... + 502715093.

It is an arithmetic number, because the mean of its divisors is an integer number (1683942624000).

Almost surely, 2101221011200211 is an apocalyptic number.

101221011200211 is a deficient number, since it is larger than the sum of its proper divisors (60437480703789).

101221011200211 is a wasteful number, since it uses less digits than its factorization.

101221011200211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201797 (or 201768 counting only the distinct ones).

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

Adding to 101221011200211 its reverse (112002110122101), we get a palindrome (213223121322312).

The spelling of 101221011200211 in words is "one hundred one trillion, two hundred twenty-one billion, eleven million, two hundred thousand, two hundred eleven".

Divisors: 1 3 7 21 29 87 149 191 203 447 573 609 841 1043 1337 2523 3129 4011 4321 5539 5887 12963 16617 17661 28459 30247 38773 85377 90741 116319 125309 160631 199213 201389 375927 481893 597639 604167 825311 877163 1124417 1409723 2475933 2631489 3373251 4229169 5777177 5840281 17331531 17520843 23934019 30006961 38465299 40881967 71802057 90020883 115395897 122645901 167538133 169368149 210048727 269257093 502614399 508104447 630146181 807771279 870201869 1115493671 1185577043 2610605607 3346481013 3556731129 5731329551 6091413083 7808455697 17193988653 18274239249 23425367091 25235854201 32349316459 40119306857 75707562603 97047949377 120357920571 166208556979 176650979407 226445215213 498625670937 529952938221 679335645639 1163459898853 3490379696559 4820048152391 14460144457173 33740337066737 101221011200211