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102100122102 = 231121013138829
BaseRepresentation
bin101111100010110100…
…1000011100111110110
3100202112112101121011210
41133011221003213312
53133100112401402
6114523143542250
710243064501316
oct1370551034766
9322475347153
10102100122102
113a333947a00
121795515a986
139821941044
144d27d3d446
1529c87c806c
hex17c5a439f6

102100122102 has 48 divisors (see below), whose sum is σ = 224674697520. Its totient is φ = 30908665920.

The previous prime is 102100122097. The next prime is 102100122109. The reversal of 102100122102 is 201221001201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102100122109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 666024 + ... + 804852.

It is an arithmetic number, because the mean of its divisors is an integer number (4680722865).

Almost surely, 2102100122102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102100122102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112337348760).

102100122102 is an abundant number, since it is smaller than the sum of its proper divisors (122574575418).

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

102100122102 is a wasteful number, since it uses less digits than its factorization.

102100122102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139869 (or 139858 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102100122102 its reverse (201221001201), we get a palindrome (303321123303).

The spelling of 102100122102 in words is "one hundred two billion, one hundred million, one hundred twenty-two thousand, one hundred two".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 726 1013 2026 3039 6078 11143 22286 33429 66858 122573 138829 245146 277658 367719 416487 735438 832974 1527119 3054238 4581357 9162714 16798309 33596618 50394927 100789854 140633777 281267554 421901331 843802662 1546971547 3093943094 4640914641 9281829282 17016687017 34033374034 51050061051 102100122102