102202100100100 has 432 divisors, whose sum is σ = 305124448910400. Its totient is φ = 29207422540800.

The previous prime is 102202100100047. The next prime is 102202100100143. The reversal of 102202100100100 is 1001001202201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 103914847 + ... + 104893753.

It is an arithmetic number, because the mean of its divisors is an integer number (706306594700).

Almost surely, 2^{102202100100100} is an apocalyptic number.

102202100100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102202100100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152562224455200).

102202100100100 is an abundant number, since it is smaller than the sum of its proper divisors (202922348810300).

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

102202100100100 is a wasteful number, since it uses less digits than its factorization.

102202100100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 979108 (or 979094 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 102202100100100 its reverse (1001001202201), we get a palindrome (103203101302301).

The spelling of 102202100100100 in words is "one hundred two trillion, two hundred two billion, one hundred million, one hundred thousand, one hundred".