100221101000 has 32 divisors (see below), whose sum is σ = 234517378680. Its totient is φ = 40088440000.

The previous prime is 100221100999. The next prime is 100221101003. The reversal of 100221101000 is 101122001.

It can be written as a sum of positive squares in 4 ways, for example, as 10450155076 + 89770945924 = 102226^2 + 299618^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (100221101003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50109551 + ... + 50111550.

Almost surely, 2^100221101000 is an apocalyptic number.

100221101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100221101000 is an abundant number, since it is smaller than the sum of its proper divisors (134296277680).

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

100221101000 is a wasteful number, since it uses less digits than its factorization.

100221101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100221122 (or 100221108 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100221101000 its reverse (101122001), we get a palindrome (100322223001).

The spelling of 100221101000 in words is "one hundred billion, two hundred twenty-one million, one hundred one thousand".