12121010102100 has 72 divisors (see below), whose sum is σ = 35112529716768. Its totient is φ = 3228360867200.

The previous prime is 12121010102057. The next prime is 12121010102119. The reversal of 12121010102100 is 120101012121.

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 (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24179571 + ... + 24675770.

It is an arithmetic number, because the mean of its divisors is an integer number (487674023844).

Almost surely, 2^{12121010102100} is an apocalyptic number.

12121010102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12121010102100 is an abundant number, since it is smaller than the sum of its proper divisors (22991519614668).

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

12121010102100 is a wasteful number, since it uses less digits than its factorization.

12121010102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48856185 (or 48856178 counting only the distinct ones).

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

Adding to 12121010102100 its reverse (120101012121), we get a palindrome (12241111114221).

The spelling of 12121010102100 in words is "twelve trillion, one hundred twenty-one billion, ten million, one hundred two thousand, one hundred".