101102112122110 has 96 divisors (see below), whose sum is σ = 205403518226592. Its totient is φ = 35512569600000.

The previous prime is 101102112122059. The next prime is 101102112122171. The reversal of 101102112122110 is 11221211201101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44907730 + ... + 47105290.

It is an arithmetic number, because the mean of its divisors is an integer number (2139619981527).

Almost surely, 2^{101102112122110} is an apocalyptic number.

101102112122110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101102112122110 is an abundant number, since it is smaller than the sum of its proper divisors (104301406104482).

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

101102112122110 is a wasteful number, since it uses less digits than its factorization.

101102112122110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2197822 (or 2197721 counting only the distinct ones).

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

Adding to 101102112122110 its reverse (11221211201101), we get a palindrome (112323323323211).

It can be divided in two parts, 1011021 and 12122110, that added together give a palindrome (13133131).

The spelling of 101102112122110 in words is "one hundred one trillion, one hundred two billion, one hundred twelve million, one hundred twenty-two thousand, one hundred ten".