221100110102120 has 16 divisors (see below), whose sum is σ = 497475247729860. Its totient is φ = 88440044040832.

The previous prime is 221100110102117. The next prime is 221100110102149. The reversal of 221100110102120 is 21201011001122.

It can be written as a sum of positive squares in 2 ways, for example, as 188987102518564 + 32113007583556 = 13747258^2 + 5666834^2 .

It is a junction number, because it is equal to n+sod(n) for n = 221100110102095 and 221100110102104.

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 3 ways as a sum of consecutive naturals, for example, 2763751376237 + ... + 2763751376316.

Almost surely, 2^{221100110102120} is an apocalyptic number.

221100110102120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221100110102120 is an abundant number, since it is smaller than the sum of its proper divisors (276375137627740).

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

221100110102120 is a wasteful number, since it uses less digits than its factorization.

221100110102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5527502752564 (or 5527502752560 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 221100110102120 its reverse (21201011001122), we get a palindrome (242301121103242).

The spelling of 221100110102120 in words is "two hundred twenty-one trillion, one hundred billion, one hundred ten million, one hundred two thousand, one hundred twenty".