12220121100100 has 72 divisors (see below), whose sum is σ = 27277107153408. Its totient is φ = 4749989596800.

The previous prime is 12220121100043. The next prime is 12220121100157. The reversal of 12220121100100 is 100112102221.

It is an interprime number because it is at equal distance from previous prime (12220121100043) and next prime (12220121100157).

It is a super-2 number, since 2×12220121100100² (a number of 27 digits) contains 22 as substring.

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, 11561764 + ... + 12574363.

It is an arithmetic number, because the mean of its divisors is an integer number (378848710464).

Almost surely, 2^{12220121100100} is an apocalyptic number.

12220121100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12220121100100 is an abundant number, since it is smaller than the sum of its proper divisors (15056986053308).

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

12220121100100 is a wasteful number, since it uses less digits than its factorization.

12220121100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24136285 (or 24136278 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12220121100100 its reverse (100112102221), we get a palindrome (12320233202321).

The spelling of 12220121100100 in words is "twelve trillion, two hundred twenty billion, one hundred twenty-one million, one hundred thousand, one hundred".