101100102112120 has 32 divisors (see below), whose sum is σ = 234813140392320. Its totient is φ = 39135523397760.

The previous prime is 101100102112117. The next prime is 101100102112129. The reversal of 101100102112120 is 21211201001101.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 101100102112120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101100102112129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40766168967 + ... + 40766171446.

It is an arithmetic number, because the mean of its divisors is an integer number (7337910637260).

Almost surely, 2^{101100102112120} is an apocalyptic number.

101100102112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101100102112120 is an abundant number, since it is smaller than the sum of its proper divisors (133713038280200).

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

101100102112120 is a wasteful number, since it uses less digits than its factorization.

101100102112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81532340455 (or 81532340451 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101100102112120 its reverse (21211201001101), we get a palindrome (122311303113221).

The spelling of 101100102112120 in words is "one hundred one trillion, one hundred billion, one hundred two million, one hundred twelve thousand, one hundred twenty".