221222120012001 has 12 divisors (see below), whose sum is σ = 319543203650580. Its totient is φ = 147481348074720.

The previous prime is 221222120011993. The next prime is 221222120012009. The reversal of 221222120012001 is 100210021222122.

It is a happy number.

221222120012001 is a `hidden beast` number, since 221 + 2 + 221 + 20 + 0 + 1 + 200 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (221222120011993) and next prime (221222120012009).

It can be written as a sum of positive squares in 2 ways, for example, as 72165857512401 + 149056262499600 = 8495049^2 + 12208860^2 .

It is not a de Polignac number, because 221222120012001 - 2³ = 221222120011993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (221222120012009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24985255 + ... + 32660483.

It is an arithmetic number, because the mean of its divisors is an integer number (26628600304215).

Almost surely, 2^{221222120012001} is an apocalyptic number.

It is an amenable number.

221222120012001 is a deficient number, since it is larger than the sum of its proper divisors (98321083638579).

221222120012001 is a wasteful number, since it uses less digits than its factorization.

221222120012001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10877776 (or 10877773 counting only the distinct ones).

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

Adding to 221222120012001 its reverse (100210021222122), we get a palindrome (321432141234123).

The spelling of 221222120012001 in words is "two hundred twenty-one trillion, two hundred twenty-two billion, one hundred twenty million, twelve thousand, one".