221201515431321 has 16 divisors (see below), whose sum is σ = 311597145734400. Its totient is φ = 139353167948288.

The previous prime is 221201515431269. The next prime is 221201515431353. The reversal of 221201515431321 is 123134515102122.

It is a cyclic number.

It is not a de Polignac number, because 221201515431321 - 2²³ = 221201507042713 is a prime.

It is a super-2 number, since 2×221201515431321² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (221201515431361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27048359256 + ... + 27048367433.

It is an arithmetic number, because the mean of its divisors is an integer number (19474821608400).

Almost surely, 2^{221201515431321} is an apocalyptic number.

It is an amenable number.

221201515431321 is a deficient number, since it is larger than the sum of its proper divisors (90395630303079).

221201515431321 is a wasteful number, since it uses less digits than its factorization.

221201515431321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54096726768.

The product of its (nonzero) digits is 14400, while the sum is 33.

The spelling of 221201515431321 in words is "two hundred twenty-one trillion, two hundred one billion, five hundred fifteen million, four hundred thirty-one thousand, three hundred twenty-one".