100210122220 has 96 divisors (see below), whose sum is σ = 231811953408. Its totient is φ = 36156936192.

The previous prime is 100210122211. The next prime is 100210122227. The reversal of 100210122220 is 22221012001.

It is a happy number.

100210122220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 100210122220.

It is not an unprimeable number, because it can be changed into a prime (100210122227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8266884 + ... + 8278996.

It is an arithmetic number, because the mean of its divisors is an integer number (2414707848).

Almost surely, 2^100210122220 is an apocalyptic number.

100210122220 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 100210122220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115905976704).

100210122220 is an abundant number, since it is smaller than the sum of its proper divisors (131601831188).

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

100210122220 is a wasteful number, since it uses less digits than its factorization.

100210122220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12859 (or 12857 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 100210122220 its reverse (22221012001), we get a palindrome (122431134221).

The spelling of 100210122220 in words is "one hundred billion, two hundred ten million, one hundred twenty-two thousand, two hundred twenty".