102022022012100 has 72 divisors (see below), whose sum is σ = 310719702145440. Its totient is φ = 25773984506880.

The previous prime is 102022022011951. The next prime is 102022022012117. The reversal of 102022022012100 is 1210220220201.

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 102022022012100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8949294477 + ... + 8949305876.

Almost surely, 2^{102022022012100} is an apocalyptic number.

102022022012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102022022012100 is an abundant number, since it is smaller than the sum of its proper divisors (208697680133340).

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

102022022012100 is a wasteful number, since it uses less digits than its factorization.

102022022012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17898600389 (or 17898600382 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 102022022012100 its reverse (1210220220201), we get a palindrome (103232242232301).

The spelling of 102022022012100 in words is "one hundred two trillion, twenty-two billion, twenty-two million, twelve thousand, one hundred".