12121013102100 has 72 divisors (see below), whose sum is σ = 40080149997888. Its totient is φ = 2770517280000.

The previous prime is 12121013102089. The next prime is 12121013102117. The reversal of 12121013102100 is 120131012121.

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 12121013102100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2885953401 + ... + 2885957600.

Almost surely, 2^{12121013102100} is an apocalyptic number.

12121013102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12121013102100 is an abundant number, since it is smaller than the sum of its proper divisors (27959136895788).

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

12121013102100 is a wasteful number, since it uses less digits than its factorization.

12121013102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5771911025 (or 5771911018 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 12121013102100 its reverse (120131012121), we get a palindrome (12241144114221).

The spelling of 12121013102100 in words is "twelve trillion, one hundred twenty-one billion, thirteen million, one hundred two thousand, one hundred".