100221311300 has 54 divisors (see below), whose sum is σ = 239048563194. Its totient is φ = 36444108800.

The previous prime is 100221311297. The next prime is 100221311317. The reversal of 100221311300 is 3113122001.

It can be written as a sum of positive squares in 3 ways, for example, as 4229161024 + 95992150276 = 65032^2 + 309826^2 .

It is a super-2 number, since 2×100221311300² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4129277 + ... + 4153476.

Almost surely, 2^100221311300 is an apocalyptic number.

100221311300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100221311300 is an abundant number, since it is smaller than the sum of its proper divisors (138827251894).

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

100221311300 is a wasteful number, since it uses less digits than its factorization.

100221311300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8282789 (or 8282771 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 100221311300 its reverse (3113122001), we get a palindrome (103334433301).

The spelling of 100221311300 in words is "one hundred billion, two hundred twenty-one million, three hundred eleven thousand, three hundred".