221110221122001 has 10 divisors (see below), whose sum is σ = 330300453774962. Its totient is φ = 147406814081280.

The previous prime is 221110221121991. The next prime is 221110221122041. The reversal of 221110221122001 is 100221122011122.

221110221122001 is a `hidden beast` number, since 2 + 211 + 10 + 221 + 1 + 220 + 0 + 1 = 666.

221110221122001 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 120031306574400 + 101078914547601 = 10955880^2 + 10053801^2 .

It is not a de Polignac number, because 221110221122001 - 2⁷ = 221110221121873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (221110221122041) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1364877908080 + ... + 1364877908241.

Almost surely, 2^{221110221122001} is an apocalyptic number.

It is an amenable number.

221110221122001 is a deficient number, since it is larger than the sum of its proper divisors (109190232652961).

221110221122001 is an equidigital number, since it uses as much as digits as its factorization.

221110221122001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2729755816333 (or 2729755816324 counting only the distinct ones).

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

Adding to 221110221122001 its reverse (100221122011122), we get a palindrome (321331343133123).

The spelling of 221110221122001 in words is "two hundred twenty-one trillion, one hundred ten billion, two hundred twenty-one million, one hundred twenty-two thousand, one".