12211112022100 has 72 divisors (see below), whose sum is σ = 26554175736480. Its totient is φ = 4874113614720.

The previous prime is 12211112022091. The next prime is 12211112022107. The reversal of 12211112022100 is 122021111221.

It is a super-2 number, since 2×12211112022100² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12211112022107) 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, 445208587 + ... + 445236013.

It is an arithmetic number, because the mean of its divisors is an integer number (368807996340).

Almost surely, 2^{12211112022100} is an apocalyptic number.

12211112022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12211112022100 is an abundant number, since it is smaller than the sum of its proper divisors (14343063714380).

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

12211112022100 is a wasteful number, since it uses less digits than its factorization.

12211112022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36697 (or 36690 counting only the distinct ones).

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

Adding to 12211112022100 its reverse (122021111221), we get a palindrome (12333133133321).

The spelling of 12211112022100 in words is "twelve trillion, two hundred eleven billion, one hundred twelve million, twenty-two thousand, one hundred".