221111201012100 has 72 divisors (see below), whose sum is σ = 731141038020288. Its totient is φ = 50539703088000.

The previous prime is 221111201012033. The next prime is 221111201012111. The reversal of 221111201012100 is 1210102111122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 221111201012100.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 52645521951 + ... + 52645526150.

Almost surely, 2^{221111201012100} is an apocalyptic number.

221111201012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221111201012100 is an abundant number, since it is smaller than the sum of its proper divisors (510029837008188).

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

221111201012100 is a wasteful number, since it uses less digits than its factorization.

221111201012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105291048125 (or 105291048118 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 221111201012100 its reverse (1210102111122), we get a palindrome (222321303123222).

The spelling of 221111201012100 in words is "two hundred twenty-one trillion, one hundred eleven billion, two hundred one million, twelve thousand, one hundred".