102120120012100 has 36 divisors (see below), whose sum is σ = 221611447848448. Its totient is φ = 40846059540000.

The previous prime is 102120120012073. The next prime is 102120120012109. The reversal of 102120120012100 is 1210021021201.

It is a super-2 number, since 2×102120120012100² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102120120012109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22790436 + ... + 26900635.

Almost surely, 2^{102120120012100} is an apocalyptic number.

102120120012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102120120012100 is an abundant number, since it is smaller than the sum of its proper divisors (119491327836348).

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

102120120012100 is a wasteful number, since it uses less digits than its factorization.

102120120012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49711636 (or 49711629 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 102120120012100 its reverse (1210021021201), we get a palindrome (103330141033301).

The spelling of 102120120012100 in words is "one hundred two trillion, one hundred twenty billion, one hundred twenty million, twelve thousand, one hundred".