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102121001221122 = 23313353341175067
BaseRepresentation
bin10111001110000011100110…
…000000000111110000000010
3111101120200011011022021221000
4113032003212000013300002
5101341122302303033442
61001105423523512430
730336666416100612
oct2716034600076002
9441520134267830
10102121001221122
112a5a230099a354
12b553898828716
1344c9c7a13b5c0
141b3097b992a42
15bc16055c5d4c
hex5ce0e6007c02

102121001221122 has 64 divisors (see below), whose sum is σ = 244461319724160. Its totient is φ = 31412951952192.

The previous prime is 102121001221111. The next prime is 102121001221139. The reversal of 102121001221122 is 221122100121201.

102121001221122 is a `hidden beast` number, since 10 + 212 + 100 + 1 + 221 + 122 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102121001221095 and 102121001221104.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18107368 + ... + 23067699.

It is an arithmetic number, because the mean of its divisors is an integer number (3819708120690).

Almost surely, 2102121001221122 is an apocalyptic number.

102121001221122 is an abundant number, since it is smaller than the sum of its proper divisors (142340318503038).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102121001221122 is a wasteful number, since it uses less digits than its factorization.

102121001221122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41178624 (or 41178618 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 102121001221122 its reverse (221122100121201), we get a palindrome (323243101342323).

The spelling of 102121001221122 in words is "one hundred two trillion, one hundred twenty-one billion, one million, two hundred twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 702 3533 7066 10599 21198 31797 45929 63594 91858 95391 137787 190782 275574 413361 826722 1240083 2480166 41175067 82350134 123525201 247050402 370575603 535275871 741151206 1070551742 1111726809 1605827613 2223453618 3211655226 4817482839 9634965678 14452448517 28904897034 145471511711 290943023422 436414535133 872829070266 1309243605399 1891129652243 2618487210798 3782259304486 3927730816197 5673388956729 7855461632394 11346777913458 17020166870187 34040333740374 51060500610561 102121001221122