221010112122120 has 96 divisors (see below), whose sum is σ = 718284844269720. Its totient is φ = 58935867448320.

The previous prime is 221010112122091. The next prime is 221010112122139. The reversal of 221010112122120 is 21221211010122.

221010112122120 is a `hidden beast` number, since 221 + 0 + 10 + 11 + 212 + 212 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 194996256379236 + 26013855742884 = 13964106^2 + 5100378^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 221010112122093 and 221010112122102.

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, 189057010 + ... + 190222430.

Almost surely, 2^{221010112122120} is an apocalyptic number.

221010112122120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221010112122120 is an abundant number, since it is smaller than the sum of its proper divisors (497274732147600).

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

221010112122120 is a wasteful number, since it uses less digits than its factorization.

221010112122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1692215 (or 1692208 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 221010112122120 its reverse (21221211010122), we get a palindrome (242231323132242).

The spelling of 221010112122120 in words is "two hundred twenty-one trillion, ten billion, one hundred twelve million, one hundred twenty-two thousand, one hundred twenty".