12211121110100 has 72 divisors (see below), whose sum is σ = 29579311157088. Its totient is φ = 4337142364800.

The previous prime is 12211121110093. The next prime is 12211121110127. The reversal of 12211121110100 is 101112111221.

12211121110100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12211121110100² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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, 129034319 + ... + 129128918.

Almost surely, 2^{12211121110100} is an apocalyptic number.

12211121110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12211121110100 is an abundant number, since it is smaller than the sum of its proper divisors (17368190046988).

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

12211121110100 is a wasteful number, since it uses less digits than its factorization.

12211121110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258163305 (or 258163298 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 12211121110100 its reverse (101112111221), we get a palindrome (12312233221321).

The spelling of 12211121110100 in words is "twelve trillion, two hundred eleven billion, one hundred twenty-one million, one hundred ten thousand, one hundred".