100112220001220 has 48 divisors (see below), whose sum is σ = 242161212518400. Its totient is φ = 34053920498304.

The previous prime is 100112220001201. The next prime is 100112220001273. The reversal of 100112220001220 is 22100022211001.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 100112220001195 and 100112220001204.

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 15 ways as a sum of consecutive naturals, for example, 2815286495 + ... + 2815322054.

It is an arithmetic number, because the mean of its divisors is an integer number (5045025260800).

Almost surely, 2^{100112220001220} is an apocalyptic number.

100112220001220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100112220001220 is an abundant number, since it is smaller than the sum of its proper divisors (142048992517180).

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

100112220001220 is a wasteful number, since it uses less digits than its factorization.

100112220001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5630608692 (or 5630608690 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100112220001220 its reverse (22100022211001), we get a palindrome (122212242212221).

It can be divided in two parts, 1001 and 12220001220, that added together give a palindrome (12220002221).

The spelling of 100112220001220 in words is "one hundred trillion, one hundred twelve billion, two hundred twenty million, one thousand, two hundred twenty".