12111012002100 has 144 divisors (see below), whose sum is σ = 38306568222720. Its totient is φ = 2929873084800.

The previous prime is 12111012002093. The next prime is 12111012002113. The reversal of 12111012002100 is 120021011121.

It is a super-2 number, since 2×12111012002100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2250202 + ... + 5411601.

It is an arithmetic number, because the mean of its divisors is an integer number (266017834880).

Almost surely, 2^{12111012002100} is an apocalyptic number.

12111012002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12111012002100 is an abundant number, since it is smaller than the sum of its proper divisors (26195556220620).

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

12111012002100 is a wasteful number, since it uses less digits than its factorization.

12111012002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7662310 (or 7662303 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12111012002100 its reverse (120021011121), we get a palindrome (12231033013221).

The spelling of 12111012002100 in words is "twelve trillion, one hundred eleven billion, twelve million, two thousand, one hundred".