12102120122100 has 36 divisors (see below), whose sum is σ = 35015467554144. Its totient is φ = 3227232032480.

The previous prime is 12102120122093. The next prime is 12102120122107. The reversal of 12102120122100 is 122102120121.

It is an interprime number because it is at equal distance from previous prime (12102120122093) and next prime (12102120122107).

It is a super-2 number, since 2×12102120122100² (a number of 27 digits) contains 22 as substring.

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 12102120122100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12102120122107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20170199904 + ... + 20170200503.

It is an arithmetic number, because the mean of its divisors is an integer number (972651876504).

Almost surely, 2^{12102120122100} is an apocalyptic number.

12102120122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12102120122100 is an abundant number, since it is smaller than the sum of its proper divisors (22913347432044).

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

12102120122100 is a wasteful number, since it uses less digits than its factorization.

12102120122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40340400424 (or 40340400417 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12102120122100 its reverse (122102120121), we get a palindrome (12224222242221).

The spelling of 12102120122100 in words is "twelve trillion, one hundred two billion, one hundred twenty million, one hundred twenty-two thousand, one hundred".