100020222122220 has 144 divisors (see below), whose sum is σ = 303968122698240. Its totient is φ = 26621656967808.

The previous prime is 100020222122213. The next prime is 100020222122231. The reversal of 100020222122220 is 22221222020001.

100020222122220 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 202 + 221 + 22 + 220 = 666.

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 = 100020222122193 and 100020222122202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 974738157 + ... + 974840763.

It is an arithmetic number, because the mean of its divisors is an integer number (2110889740960).

Almost surely, 2^{100020222122220} is an apocalyptic number.

100020222122220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100020222122220 is an abundant number, since it is smaller than the sum of its proper divisors (203947900576020).

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

100020222122220 is a wasteful number, since it uses less digits than its factorization.

100020222122220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112804 (or 112799 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 100020222122220 its reverse (22221222020001), we get a palindrome (122241444142221).

The spelling of 100020222122220 in words is "one hundred trillion, twenty billion, two hundred twenty-two million, one hundred twenty-two thousand, two hundred twenty".