100221001000 has 64 divisors (see below), whose sum is σ = 248312310480. Its totient is φ = 37730252800.

The previous prime is 100221000991. The next prime is 100221001003. The reversal of 100221001000 is 100122001.

It can be written as a sum of positive squares in 8 ways, for example, as 43070361156 + 57150639844 = 207534^2 + 239062^2 .

It is not an unprimeable number, because it can be changed into a prime (100221001003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2930677 + ... + 2964676.

Almost surely, 2^100221001000 is an apocalyptic number.

100221001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100221001000 is an abundant number, since it is smaller than the sum of its proper divisors (148091309480).

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

100221001000 is a wasteful number, since it uses less digits than its factorization.

100221001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5895391 (or 5895377 counting only the distinct ones).

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

Adding to 100221001000 its reverse (100122001), we get a palindrome (100321123001).

The spelling of 100221001000 in words is "one hundred billion, two hundred twenty-one million, one thousand".