12111112102100 has 72 divisors (see below), whose sum is σ = 29369581226496. Its totient is φ = 4296625120000.

The previous prime is 12111112102043. The next prime is 12111112102109. The reversal of 12111112102100 is 120121111121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12111112102109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134224436 + ... + 134314635.

It is an arithmetic number, because the mean of its divisors is an integer number (407910850368).

Almost surely, 2^{12111112102100} is an apocalyptic number.

12111112102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12111112102100 is an abundant number, since it is smaller than the sum of its proper divisors (17258469124396).

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

12111112102100 is a wasteful number, since it uses less digits than its factorization.

12111112102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268539137 (or 268539130 counting only the distinct ones).

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

Adding to 12111112102100 its reverse (120121111121), we get a palindrome (12231233213221).

The spelling of 12111112102100 in words is "twelve trillion, one hundred eleven billion, one hundred twelve million, one hundred two thousand, one hundred".