120002100122100 has 288 divisors, whose sum is σ = 407615371668736. Its totient is φ = 26682230476800.

The previous prime is 120002100122071. The next prime is 120002100122143. The reversal of 120002100122100 is 1221001200021.

120002100122100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 95 ways as a sum of consecutive naturals, for example, 383137560 + ... + 383450640.

Almost surely, 2^{120002100122100} is an apocalyptic number.

120002100122100 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 120002100122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203807685834368).

120002100122100 is an abundant number, since it is smaller than the sum of its proper divisors (287613271546636).

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

120002100122100 is a wasteful number, since it uses less digits than its factorization.

120002100122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318075 (or 318068 counting only the distinct ones).

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

Adding to 120002100122100 its reverse (1221001200021), we get a palindrome (121223101322121).

The spelling of 120002100122100 in words is "one hundred twenty trillion, two billion, one hundred million, one hundred twenty-two thousand, one hundred".