12111022112100 has 72 divisors (see below), whose sum is σ = 35615670326208. Its totient is φ = 3176661532800.

The previous prime is 12111022112099. The next prime is 12111022112177. The reversal of 12111022112100 is 121122011121.

It is a happy number.

12111022112100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12111022112100.

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, 330883944 + ... + 330920543.

It is an arithmetic number, because the mean of its divisors is an integer number (494662087864).

Almost surely, 2^{12111022112100} is an apocalyptic number.

12111022112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12111022112100 is an abundant number, since it is smaller than the sum of its proper divisors (23504648214108).

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

12111022112100 is a wasteful number, since it uses less digits than its factorization.

12111022112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661804565 (or 661804558 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 12111022112100 its reverse (121122011121), we get a palindrome (12232144123221).

The spelling of 12111022112100 in words is "twelve trillion, one hundred eleven billion, twenty-two million, one hundred twelve thousand, one hundred".