102110111202120 has 128 divisors (see below), whose sum is σ = 354309783690240. Its totient is φ = 23058255732480.

The previous prime is 102110111202103. The next prime is 102110111202131. The reversal of 102110111202120 is 21202111011201.

It is a happy number.

It is a super-2 number, since 2×102110111202120² (a number of 29 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 102110111202120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 732217366 + ... + 732356805.

It is an arithmetic number, because the mean of its divisors is an integer number (2768045185080).

Almost surely, 2^{102110111202120} is an apocalyptic number.

102110111202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102110111202120 is an abundant number, since it is smaller than the sum of its proper divisors (252199672488120).

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

102110111202120 is a wasteful number, since it uses less digits than its factorization.

102110111202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1464574275 (or 1464574271 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 102110111202120 its reverse (21202111011201), we get a palindrome (123312222213321).

The spelling of 102110111202120 in words is "one hundred two trillion, one hundred ten billion, one hundred eleven million, two hundred two thousand, one hundred twenty".