100312002221220 has 36 divisors (see below), whose sum is σ = 304279740071580. Its totient is φ = 26749867258944.

The previous prime is 100312002221203. The next prime is 100312002221239. The reversal of 100312002221220 is 22122200213001.

100312002221220 is a `hidden beast` number, since 10 + 0 + 312 + 0 + 0 + 222 + 122 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13460152140864 + 86851850080356 = 3668808^2 + 9319434^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 100312002221193 and 100312002221202.

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 11 ways as a sum of consecutive naturals, for example, 278644450435 + ... + 278644450794.

Almost surely, 2^{100312002221220} is an apocalyptic number.

100312002221220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100312002221220 is an abundant number, since it is smaller than the sum of its proper divisors (203967737850360).

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

100312002221220 is a wasteful number, since it uses less digits than its factorization.

100312002221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557288901244 (or 557288901239 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 100312002221220 its reverse (22122200213001), we get a palindrome (122434202434221).

The spelling of 100312002221220 in words is "one hundred trillion, three hundred twelve billion, two million, two hundred twenty-one thousand, two hundred twenty".