120122122100 has 36 divisors (see below), whose sum is σ = 260749521900. Its totient is φ = 48033269760.

The previous prime is 120122122097. The next prime is 120122122123. The reversal of 120122122100 is 1221221021.

It can be written as a sum of positive squares in 6 ways, for example, as 37467022096 + 82655100004 = 193564^2 + 287498^2 .

It is a congruent number.

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, 117716 + ... + 504084.

It is an arithmetic number, because the mean of its divisors is an integer number (7243042275).

Almost surely, 2^120122122100 is an apocalyptic number.

120122122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120122122100 is an abundant number, since it is smaller than the sum of its proper divisors (140627399800).

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

120122122100 is a wasteful number, since it uses less digits than its factorization.

120122122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389492 (or 389485 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 120122122100 its reverse (1221221021), we get a palindrome (121343343121).

The spelling of 120122122100 in words is "one hundred twenty billion, one hundred twenty-two million, one hundred twenty-two thousand, one hundred".