221221040000001 has 16 divisors (see below), whose sum is σ = 311165069928000. Its totient is φ = 139412821690368.

The previous prime is 221221039999957. The next prime is 221221040000003. The reversal of 221221040000001 is 100000040122122.

It is not a de Polignac number, because 221221040000001 - 2³⁵ = 221186680261633 is a prime.

It is not an unprimeable number, because it can be changed into a prime (221221040000003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4246222176 + ... + 4246274273.

It is an arithmetic number, because the mean of its divisors is an integer number (19447816870500).

Almost surely, 2^{221221040000001} is an apocalyptic number.

It is an amenable number.

221221040000001 is a deficient number, since it is larger than the sum of its proper divisors (89944029927999).

221221040000001 is a wasteful number, since it uses less digits than its factorization.

221221040000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8492496928.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 221221040000001 its reverse (100000040122122), we get a palindrome (321221080122123).

The spelling of 221221040000001 in words is "two hundred twenty-one trillion, two hundred twenty-one billion, forty million, one", and thus it is an aban number.