100100221000 has 96 divisors (see below), whose sum is σ = 253638988200. Its totient is φ = 36960019200.

The previous prime is 100100220991. The next prime is 100100221009. The reversal of 100100221000 is 122001001.

It is an interprime number because it is at equal distance from previous prime (100100220991) and next prime (100100221009).

It can be written as a sum of positive squares in 12 ways, for example, as 32563646116 + 67536574884 = 180454^2 + 259878^2 .

It is not an unprimeable number, because it can be changed into a prime (100100221009) 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, 127155 + ... + 465154.

Almost surely, 2^100100221000 is an apocalyptic number.

100100221000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100100221000 is an abundant number, since it is smaller than the sum of its proper divisors (153538767200).

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

100100221000 is a wasteful number, since it uses less digits than its factorization.

100100221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592356 (or 592329 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 100100221000 its reverse (122001001), we get a palindrome (100222222001).

The spelling of 100100221000 in words is "one hundred billion, one hundred million, two hundred twenty-one thousand".