102101200100120 has 64 divisors (see below), whose sum is σ = 247402835658720. Its totient is φ = 37698329585664.

The previous prime is 102101200100111. The next prime is 102101200100131. The reversal of 102101200100120 is 21001002101201.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 33405599 + ... + 36333681.

Almost surely, 2^{102101200100120} is an apocalyptic number.

102101200100120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102101200100120 is an abundant number, since it is smaller than the sum of its proper divisors (145301635558600).

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

102101200100120 is a wasteful number, since it uses less digits than its factorization.

102101200100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2995164 (or 2995160 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 102101200100120 its reverse (21001002101201), we get a palindrome (123102202201321).

The spelling of 102101200100120 in words is "one hundred two trillion, one hundred one billion, two hundred million, one hundred thousand, one hundred twenty".