100333120202120 has 64 divisors (see below), whose sum is σ = 243442076209920. Its totient is φ = 36996214881024.

The previous prime is 100333120202113. The next prime is 100333120202123. The reversal of 100333120202120 is 21202021333001.

100333120202120 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 (20).

It is a junction number, because it is equal to n+sod(n) for n = 100333120202092 and 100333120202101.

It is not an unprimeable number, because it can be changed into a prime (100333120202123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129457724 + ... + 130230443.

It is an arithmetic number, because the mean of its divisors is an integer number (3803782440780).

Almost surely, 2^{100333120202120} is an apocalyptic number.

100333120202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100333120202120 is an abundant number, since it is smaller than the sum of its proper divisors (143108956007800).

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

100333120202120 is a wasteful number, since it uses less digits than its factorization.

100333120202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259688934 (or 259688930 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 100333120202120 its reverse (21202021333001), we get a palindrome (121535141535121).

The spelling of 100333120202120 in words is "one hundred trillion, three hundred thirty-three billion, one hundred twenty million, two hundred two thousand, one hundred twenty".