100221111200100 has 72 divisors (see below), whose sum is σ = 316334270998368. Its totient is φ = 24296026956800.

The previous prime is 100221111200081. The next prime is 100221111200113. The reversal of 100221111200100 is 1002111122001.

It is a super-2 number, since 2×100221111200100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15185013549 + ... + 15185020148.

It is an arithmetic number, because the mean of its divisors is an integer number (4393531541644).

Almost surely, 2^{100221111200100} is an apocalyptic number.

100221111200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100221111200100 is an abundant number, since it is smaller than the sum of its proper divisors (216113159798268).

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

100221111200100 is a wasteful number, since it uses less digits than its factorization.

100221111200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30370033725 (or 30370033718 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100221111200100 its reverse (1002111122001), we get a palindrome (101223222322101).

It can be divided in two parts, 10022111 and 1200100, that added together give a palindrome (11222211).

The spelling of 100221111200100 in words is "one hundred trillion, two hundred twenty-one billion, one hundred eleven million, two hundred thousand, one hundred".