100222210112020 has 48 divisors (see below), whose sum is σ = 212616718851600. Its totient is φ = 39679592883200.

The previous prime is 100222210111999. The next prime is 100222210112069. The reversal of 100222210112020 is 20211012222001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 204329312784 + 100017880799236 = 452028^2 + 10000894^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100222210111985 and 100222210112003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1248415 + ... + 14212774.

It is an arithmetic number, because the mean of its divisors is an integer number (4429514976075).

Almost surely, 2^{100222210112020} is an apocalyptic number.

100222210112020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100222210112020 is an abundant number, since it is smaller than the sum of its proper divisors (112394508739580).

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

100222210112020 is a wasteful number, since it uses less digits than its factorization.

100222210112020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15464508 (or 15464506 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 100222210112020 its reverse (20211012222001), we get a palindrome (120433222334021).

The spelling of 100222210112020 in words is "one hundred trillion, two hundred twenty-two billion, two hundred ten million, one hundred twelve thousand, twenty".