122112100221100 has 72 divisors (see below), whose sum is σ = 292320651999600. Its totient is φ = 43905474201600.

The previous prime is 122112100221091. The next prime is 122112100221101. The reversal of 122112100221100 is 1122001211221.

It is a super-2 number, since 2×122112100221100² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122112100221101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 623559405 + ... + 623755204.

It is an arithmetic number, because the mean of its divisors is an integer number (4060009055550).

Almost surely, 2^{122112100221100} is an apocalyptic number.

122112100221100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122112100221100 is an abundant number, since it is smaller than the sum of its proper divisors (170208551778500).

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

122112100221100 is a wasteful number, since it uses less digits than its factorization.

122112100221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1247314723 (or 1247314716 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 122112100221100 its reverse (1122001211221), we get a palindrome (123234101432321).

The spelling of 122112100221100 in words is "one hundred twenty-two trillion, one hundred twelve billion, one hundred million, two hundred twenty-one thousand, one hundred".