221120120222001 has 96 divisors (see below), whose sum is σ = 431969235280128. Its totient is φ = 105257672017920.

The previous prime is 221120120221967. The next prime is 221120120222009. The reversal of 221120120222001 is 100222021021122.

It is a happy number.

221120120222001 is a `hidden beast` number, since 221 + 1 + 20 + 1 + 202 + 220 + 0 + 1 = 666.

221120120222001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 221120120222001 - 2¹⁰ = 221120120220977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (221120120222009) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 88343716 + ... + 90812181.

It is an arithmetic number, because the mean of its divisors is an integer number (4499679534168).

Almost surely, 2^{221120120222001} is an apocalyptic number.

221120120222001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

221120120222001 is a deficient number, since it is larger than the sum of its proper divisors (210849115058127).

221120120222001 is a wasteful number, since it uses less digits than its factorization.

221120120222001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179156071 (or 179156068 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 221120120222001 its reverse (100222021021122), we get a palindrome (321342141243123).

The spelling of 221120120222001 in words is "two hundred twenty-one trillion, one hundred twenty billion, one hundred twenty million, two hundred twenty-two thousand, one".