12211221120100 has 36 divisors (see below), whose sum is σ = 26522373959424. Its totient is φ = 4880060037280.

The previous prime is 12211221120073. The next prime is 12211221120127. The reversal of 12211221120100 is 102112211221.

12211221120100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12211221120073) and next prime (12211221120127).

It is a super-2 number, since 2×12211221120100² (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 11 ways as a sum of consecutive naturals, for example, 55244284 + ... + 55464883.

It is an arithmetic number, because the mean of its divisors is an integer number (736732609984).

Almost surely, 2^{12211221120100} is an apocalyptic number.

12211221120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12211221120100 is an abundant number, since it is smaller than the sum of its proper divisors (14311152839324).

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

12211221120100 is a wasteful number, since it uses less digits than its factorization.

12211221120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110710284 (or 110710277 counting only the distinct ones).

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

Adding to 12211221120100 its reverse (102112211221), we get a palindrome (12313333331321).

The spelling of 12211221120100 in words is "twelve trillion, two hundred eleven billion, two hundred twenty-one million, one hundred twenty thousand, one hundred".