120133012100 has 72 divisors (see below), whose sum is σ = 266190832488. Its totient is φ = 47048601600.

The previous prime is 120133012099. The next prime is 120133012151. The reversal of 120133012100 is 1210331021.

It can be written as a sum of positive squares in 12 ways, for example, as 11306919556 + 108826092544 = 106334^2 + 329888^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 940040 + ... + 1060160.

Almost surely, 2^120133012100 is an apocalyptic number.

120133012100 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 120133012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133095416244).

120133012100 is an abundant number, since it is smaller than the sum of its proper divisors (146057820388).

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

120133012100 is a wasteful number, since it uses less digits than its factorization.

120133012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120345 (or 120338 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 120133012100 its reverse (1210331021), we get a palindrome (121343343121).

The spelling of 120133012100 in words is "one hundred twenty billion, one hundred thirty-three million, twelve thousand, one hundred".