100221516621 has 16 divisors (see below), whose sum is σ = 148533685120. Its totient is φ = 66788530560.

The previous prime is 100221516587. The next prime is 100221516623. The reversal of 100221516621 is 126615122001.

100221516621 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 21 + 5 + 16 + 621 = 666.

It is not a de Polignac number, because 100221516621 - 2¹⁸ = 100221254477 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100221516623) 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 15 ways as a sum of consecutive naturals, for example, 645745 + ... + 785766.

It is an arithmetic number, because the mean of its divisors is an integer number (9283355320).

Almost surely, 2^100221516621 is an apocalyptic number.

It is an amenable number.

100221516621 is a deficient number, since it is larger than the sum of its proper divisors (48312168499).

100221516621 is a wasteful number, since it uses less digits than its factorization.

100221516621 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1434113 (or 1434107 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 100221516621 its reverse (126615122001), we get a palindrome (226836638622).

The spelling of 100221516621 in words is "one hundred billion, two hundred twenty-one million, five hundred sixteen thousand, six hundred twenty-one".