103122220031100 has 54 divisors (see below), whose sum is σ = 323230869678080. Its totient is φ = 27499258674720.

The previous prime is 103122220031093. The next prime is 103122220031123. The reversal of 103122220031100 is 1130022221301.

103122220031100 is a `hidden beast` number, since 1 + 0 + 312 + 2 + 220 + 0 + 31 + 100 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 57290121340 + ... + 57290123139.

Almost surely, 2^{103122220031100} is an apocalyptic number.

103122220031100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103122220031100 is an abundant number, since it is smaller than the sum of its proper divisors (220108649646980).

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

103122220031100 is a wasteful number, since it uses less digits than its factorization.

103122220031100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114580244499 (or 114580244489 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 103122220031100 its reverse (1130022221301), we get a palindrome (104252242252401).

The spelling of 103122220031100 in words is "one hundred three trillion, one hundred twenty-two billion, two hundred twenty million, thirty-one thousand, one hundred".