122112220100 has 36 divisors (see below), whose sum is σ = 285366868164. Its totient is φ = 45087588480.

The previous prime is 122112220091. The next prime is 122112220123. The reversal of 122112220100 is 1022211221.

122112220100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 46165679044 + 75946541056 = 214862^2 + 275584^2 .

It is a super-2 number, since 2×122112220100² (a number of 23 digits) contains 22 as substring.

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, 46964939 + ... + 46967538.

It is an arithmetic number, because the mean of its divisors is an integer number (7926857449).

Almost surely, 2^122112220100 is an apocalyptic number.

122112220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122112220100 is an abundant number, since it is smaller than the sum of its proper divisors (163254648064).

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

122112220100 is a wasteful number, since it uses less digits than its factorization.

122112220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93932504 (or 93932497 counting only the distinct ones).

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

Adding to 122112220100 its reverse (1022211221), we get a palindrome (123134431321).

The spelling of 122112220100 in words is "one hundred twenty-two billion, one hundred twelve million, two hundred twenty thousand, one hundred".