100612212220 has 72 divisors (see below), whose sum is σ = 228592004256. Its totient is φ = 36977363712.

The previous prime is 100612212187. The next prime is 100612212221. The reversal of 100612212220 is 22212216001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100612212221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82944334 + ... + 82945546.

It is an arithmetic number, because the mean of its divisors is an integer number (3174888948).

Almost surely, 2^100612212220 is an apocalyptic number.

100612212220 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 100612212220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114296002128).

100612212220 is an abundant number, since it is smaller than the sum of its proper divisors (127979792036).

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

100612212220 is a wasteful number, since it uses less digits than its factorization.

100612212220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2711 (or 1496 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 100612212220 its reverse (22212216001), we get a palindrome (122824428221).

The spelling of 100612212220 in words is "one hundred billion, six hundred twelve million, two hundred twelve thousand, two hundred twenty".