100022102220 has 96 divisors (see below), whose sum is σ = 287838625536. Its totient is φ = 25932960000.

The previous prime is 100022102177. The next prime is 100022102233. The reversal of 100022102220 is 22201220001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100022102196 and 100022102205.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3205695 + ... + 3236745.

It is an arithmetic number, because the mean of its divisors is an integer number (2998319016).

Almost surely, 2^100022102220 is an apocalyptic number.

100022102220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100022102220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143919312768).

100022102220 is an abundant number, since it is smaller than the sum of its proper divisors (187816523316).

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

100022102220 is a wasteful number, since it uses less digits than its factorization.

100022102220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32551 (or 32549 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 100022102220 its reverse (22201220001), we get a palindrome (122223322221).

The spelling of 100022102220 in words is "one hundred billion, twenty-two million, one hundred two thousand, two hundred twenty".