100213022220 has 192 divisors, whose sum is σ = 310895335296. Its totient is φ = 24009523200.

The previous prime is 100213022209. The next prime is 100213022227. The reversal of 100213022220 is 22220312001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100213022220.

It is not an unprimeable number, because it can be changed into a prime (100213022227) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1975170 + ... + 2025270.

It is an arithmetic number, because the mean of its divisors is an integer number (1619246538).

Almost surely, 2^100213022220 is an apocalyptic number.

100213022220 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 100213022220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155447667648).

100213022220 is an abundant number, since it is smaller than the sum of its proper divisors (210682313076).

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

100213022220 is a wasteful number, since it uses less digits than its factorization.

100213022220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50220 (or 50218 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 100213022220 its reverse (22220312001), we get a palindrome (122433334221).

The spelling of 100213022220 in words is "one hundred billion, two hundred thirteen million, twenty-two thousand, two hundred twenty".