102100120122 has 256 divisors, whose sum is σ = 290683846656. Its totient is φ = 23048064000.

The previous prime is 102100120117. The next prime is 102100120151. The reversal of 102100120122 is 221021001201.

It is a junction number, because it is equal to n+sod(n) for n = 102100120098 and 102100120107.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6881472 + ... + 6896292.

It is an arithmetic number, because the mean of its divisors is an integer number (1135483776).

Almost surely, 2^102100120122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102100120122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145341923328).

102100120122 is an abundant number, since it is smaller than the sum of its proper divisors (188583726534).

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

102100120122 is a wasteful number, since it uses less digits than its factorization.

102100120122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14925.

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

Adding to 102100120122 its reverse (221021001201), we get a palindrome (323121121323).

It can be divided in two parts, 1021001201 and 22, that multiplied together give a palindrome (22462026422).

The spelling of 102100120122 in words is "one hundred two billion, one hundred million, one hundred twenty thousand, one hundred twenty-two".