102120121200 has 60 divisors (see below), whose sum is σ = 327124792088. Its totient is φ = 27232032000.

The previous prime is 102120121087. The next prime is 102120121217. The reversal of 102120121200 is 2121021201.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42548851 + ... + 42551250.

Almost surely, 2^102120121200 is an apocalyptic number.

102120121200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102120121200 is an abundant number, since it is smaller than the sum of its proper divisors (225004670888).

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

102120121200 is a wasteful number, since it uses less digits than its factorization.

102120121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85100122 (or 85100111 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102120121200 its reverse (2121021201), we get a palindrome (104241142401).

Subtracting from 102120121200 its reverse (2121021201), we obtain a palindrome (99999099999).

It can be divided in two parts, 1021201 and 21200, that added together give a palindrome (1042401).

The spelling of 102120121200 in words is "one hundred two billion, one hundred twenty million, one hundred twenty-one thousand, two hundred".