120100210120 has 48 divisors (see below), whose sum is σ = 297024705180. Its totient is φ = 43672801920.

The previous prime is 120100210073. The next prime is 120100210147. The reversal of 120100210120 is 21012001021.

It can be written as a sum of positive squares in 2 ways, for example, as 111279619396 + 8820590724 = 333586^2 + 93918^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 120100210097 and 120100210106.

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, 12402207 + ... + 12411886.

Almost surely, 2^120100210120 is an apocalyptic number.

120100210120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120100210120 is an abundant number, since it is smaller than the sum of its proper divisors (176924495060).

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

120100210120 is a wasteful number, since it uses less digits than its factorization.

120100210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24814126 (or 24814111 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 120100210120 its reverse (21012001021), we get a palindrome (141112211141).

The spelling of 120100210120 in words is "one hundred twenty billion, one hundred million, two hundred ten thousand, one hundred twenty".