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102122121210112 = 286133119757047
BaseRepresentation
bin10111001110000100101000…
…110000100010100100000000
3111101120210001012202121222201
4113032010220300202210000
5101341132101012210422
61001110131013042544
730340036235615623
oct2716045060424400
9441523035677881
10102122121210112
112a5a2826117693
12b553b4b926454
1344ca0c819a693
141b30a46615dba
15bc166daa9727
hex5ce128c22900

102122121210112 has 72 divisors (see below), whose sum is σ = 207813007852352. Its totient is φ = 50072257382400.

The previous prime is 102122121210103. The next prime is 102122121210113. The reversal of 102122121210112 is 211012121221201.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 102122121210112.

It is not an unprimeable number, because it can be changed into a prime (102122121210113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4709628 + ... + 15047419.

Almost surely, 2102122121210112 is an apocalyptic number.

It is an amenable number.

102122121210112 is an abundant number, since it is smaller than the sum of its proper divisors (105690886642240).

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

102122121210112 is an equidigital number, since it uses as much as digits as its factorization.

102122121210112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19757455 (or 19757441 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 102122121210112 its reverse (211012121221201), we get a palindrome (313134242431313).

The spelling of 102122121210112 in words is "one hundred two trillion, one hundred twenty-two billion, one hundred twenty-one million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 256 331 488 662 976 1324 1952 2648 3904 5296 7808 10592 15616 20191 21184 40382 42368 80764 84736 161528 323056 646112 1292224 2584448 5168896 19757047 39514094 79028188 158056376 316112752 632225504 1205179867 1264451008 2410359734 2528902016 4820719468 5057804032 6539582557 9641438936 13079165114 19282877872 26158330228 38565755744 52316660456 77131511488 104633320912 154263022976 209266641824 308526045952 398914535977 418533283648 797829071954 837066567296 1595658143908 1674133134592 3191316287816 6382632575632 12765265151264 25530530302528 51061060605056 102122121210112