102100222120 has 64 divisors (see below), whose sum is σ = 253430810640. Its totient is φ = 36779059200.

The previous prime is 102100222117. The next prime is 102100222129. The reversal of 102100222120 is 21222001201.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 7665702916 + 94434519204 = 87554^2 + 307302^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 102100222120.

It is not an unprimeable number, because it can be changed into a prime (102100222129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2373151 + ... + 2415790.

Almost surely, 2^102100222120 is an apocalyptic number.

102100222120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102100222120 is an abundant number, since it is smaller than the sum of its proper divisors (151330588520).

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

102100222120 is a wasteful number, since it uses less digits than its factorization.

102100222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4789006 (or 4789002 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 102100222120 its reverse (21222001201), we get a palindrome (123322223321).

The spelling of 102100222120 in words is "one hundred two billion, one hundred million, two hundred twenty-two thousand, one hundred twenty".