12122211120100 has 36 divisors (see below), whose sum is σ = 26450530756468. Its totient is φ = 4822095024000.

The previous prime is 12122211120067. The next prime is 12122211120101. The reversal of 12122211120100 is 102111222121.

It can be written as a sum of positive squares in 6 ways, for example, as 1086380951616 + 11035830168484 = 1042296^2 + 3322022^2 .

It is not an unprimeable number, because it can be changed into a prime (12122211120101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 334849611 + ... + 334885810.

Almost surely, 2^{12122211120100} is an apocalyptic number.

12122211120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12122211120100 is an abundant number, since it is smaller than the sum of its proper divisors (14328319636368).

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

12122211120100 is a wasteful number, since it uses less digits than its factorization.

12122211120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669735616 (or 669735609 counting only the distinct ones).

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

Adding to 12122211120100 its reverse (102111222121), we get a palindrome (12224322342221).

The spelling of 12122211120100 in words is "twelve trillion, one hundred twenty-two billion, two hundred eleven million, one hundred twenty thousand, one hundred".