120100102012100 has 144 divisors (see below), whose sum is σ = 308280561447936. Its totient is φ = 39742045632000.

The previous prime is 120100102012081. The next prime is 120100102012123. The reversal of 120100102012100 is 1210201001021.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 675110 + ... + 15513090.

Almost surely, 2^{120100102012100} is an apocalyptic number.

120100102012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120100102012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154140280723968).

120100102012100 is an abundant number, since it is smaller than the sum of its proper divisors (188180459435836).

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

120100102012100 is a wasteful number, since it uses less digits than its factorization.

120100102012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14838406 (or 14838399 counting only the distinct ones).

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

Adding to 120100102012100 its reverse (1210201001021), we get a palindrome (121310303013121).

The spelling of 120100102012100 in words is "one hundred twenty trillion, one hundred billion, one hundred two million, twelve thousand, one hundred".