102202020012108 has 192 divisors, whose sum is σ = 259690869849600. Its totient is φ = 31152633384960.

The previous prime is 102202020012107. The next prime is 102202020012181. The reversal of 102202020012108 is 801210020202201.

It is not an unprimeable number, because it can be changed into a prime (102202020012107) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20395531323 + ... + 20395536333.

It is an arithmetic number, because the mean of its divisors is an integer number (1352556613800).

Almost surely, 2^{102202020012108} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102202020012108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129845434924800).

102202020012108 is an abundant number, since it is smaller than the sum of its proper divisors (157488849837492).

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

102202020012108 is a wasteful number, since it uses less digits than its factorization.

102202020012108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8360 (or 8358 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 102202020012108 its reverse (801210020202201), we get a palindrome (903412040214309).

The spelling of 102202020012108 in words is "one hundred two trillion, two hundred two billion, twenty million, twelve thousand, one hundred eight".