100222202000 has 80 divisors (see below), whose sum is σ = 250693887600. Its totient is φ = 38706483200.

The previous prime is 100222201993. The next prime is 100222202057. The reversal of 100222202000 is 202222001.

It can be written as a sum of positive squares in 8 ways, for example, as 48872829184 + 51349372816 = 221072^2 + 226604^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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, 805985 + ... + 921984.

It is an arithmetic number, because the mean of its divisors is an integer number (3133673595).

Almost surely, 2^100222202000 is an apocalyptic number.

100222202000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100222202000 is an abundant number, since it is smaller than the sum of its proper divisors (150471685600).

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

100222202000 is a wasteful number, since it uses less digits than its factorization.

100222202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1728021 (or 1728005 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 100222202000 its reverse (202222001), we get a palindrome (100424424001).

The spelling of 100222202000 in words is "one hundred billion, two hundred twenty-two million, two hundred two thousand".