102100120120 has 32 divisors (see below), whose sum is σ = 229746567600. Its totient is φ = 40836261888.

The previous prime is 102100120117. The next prime is 102100120151. The reversal of 102100120120 is 21021001201.

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

It is a junction number, because it is equal to n+sod(n) for n = 102100120097 and 102100120106.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 340507 + ... + 565813.

Almost surely, 2^102100120120 is an apocalyptic number.

102100120120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102100120120 is an abundant number, since it is smaller than the sum of its proper divisors (127646447480).

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

102100120120 is a wasteful number, since it uses less digits than its factorization.

102100120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236647 (or 236643 counting only the distinct ones).

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

Adding to 102100120120 its reverse (21021001201), we get a palindrome (123121121321).

The spelling of 102100120120 in words is "one hundred two billion, one hundred million, one hundred twenty thousand, one hundred twenty".