102112221002100 has 288 divisors, whose sum is σ = 316574528100096. Its totient is φ = 25354908057600.

The previous prime is 102112221002041. The next prime is 102112221002177. The reversal of 102112221002100 is 1200122211201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102112221002100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39576762 + ... + 42077838.

Almost surely, 2^{102112221002100} is an apocalyptic number.

102112221002100 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 102112221002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158287264050048).

102112221002100 is an abundant number, since it is smaller than the sum of its proper divisors (214462307097996).

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

102112221002100 is a wasteful number, since it uses less digits than its factorization.

102112221002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2501275 (or 2501268 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 102112221002100 its reverse (1200122211201), we get a palindrome (103312343213301).

The spelling of 102112221002100 in words is "one hundred two trillion, one hundred twelve billion, two hundred twenty-one million, two thousand, one hundred".