221021220110112 has 144 divisors (see below), whose sum is σ = 628930974704760. Its totient is φ = 73626648883200.

The previous prime is 221021220110027. The next prime is 221021220110137. The reversal of 221021220110112 is 211011022120122.

221021220110112 is a `hidden beast` number, since 2 + 210 + 212 + 20 + 110 + 112 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 159269347078416 + 61751873031696 = 12620196^2 + 7858236^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

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, 2939817162 + ... + 2939892342.

Almost surely, 2^{221021220110112} is an apocalyptic number.

It is an amenable number.

221021220110112 is an abundant number, since it is smaller than the sum of its proper divisors (407909754594648).

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

221021220110112 is a wasteful number, since it uses less digits than its factorization.

221021220110112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81587 (or 81576 counting only the distinct ones).

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

Adding to 221021220110112 its reverse (211011022120122), we get a palindrome (432032242230234).

The spelling of 221021220110112 in words is "two hundred twenty-one trillion, twenty-one billion, two hundred twenty million, one hundred ten thousand, one hundred twelve".