102120003131100 has 108 divisors (see below), whose sum is σ = 311836583853144. Its totient is φ = 25798737605760.

The previous prime is 102120003131099. The next prime is 102120003131101. The reversal of 102120003131100 is 1131300021201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102120003131099) and next prime (102120003131101).

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 102120003131100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102120003131101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 471359859 + ... + 471576458.

It is an arithmetic number, because the mean of its divisors is an integer number (2887375776418).

Almost surely, 2^{102120003131100} is an apocalyptic number.

102120003131100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102120003131100 is an abundant number, since it is smaller than the sum of its proper divisors (209716580722044).

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

102120003131100 is a wasteful number, since it uses less digits than its factorization.

102120003131100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942936372 (or 942936346 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 102120003131100 its reverse (1131300021201), we get a palindrome (103251303152301).

The spelling of 102120003131100 in words is "one hundred two trillion, one hundred twenty billion, three million, one hundred thirty-one thousand, one hundred".