122200120100 has 72 divisors (see below), whose sum is σ = 277155260928. Its totient is φ = 46678508800.

The previous prime is 122200120033. The next prime is 122200120139. The reversal of 122200120100 is 1021002221.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1376045 + ... + 1462155.

It is an arithmetic number, because the mean of its divisors is an integer number (3849378624).

Almost surely, 2^122200120100 is an apocalyptic number.

122200120100 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 122200120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138577630464).

122200120100 is an abundant number, since it is smaller than the sum of its proper divisors (154955140828).

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

122200120100 is a wasteful number, since it uses less digits than its factorization.

122200120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86765 (or 86758 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 122200120100 its reverse (1021002221), we get a palindrome (123221122321).

The spelling of 122200120100 in words is "one hundred twenty-two billion, two hundred million, one hundred twenty thousand, one hundred".