221312012321001 has 8 divisors (see below), whose sum is σ = 337237352108224. Its totient is φ = 126464007040560.

The previous prime is 221312012320939. The next prime is 221312012321027. The reversal of 221312012321001 is 100123210213122.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 221312012321001 - 2⁹ = 221312012320489 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 10538667253381 = 221312012321001 / (2 + 2 + 1 + 3 + 1 + 2 + 0 + 1 + 2 + 3 + 2 + 1 + 0 + 0 + 1).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (221312012321401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5269333626670 + ... + 5269333626711.

It is an arithmetic number, because the mean of its divisors is an integer number (42154669013528).

Almost surely, 2^{221312012321001} is an apocalyptic number.

221312012321001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

221312012321001 is a deficient number, since it is larger than the sum of its proper divisors (115925339787223).

221312012321001 is a wasteful number, since it uses less digits than its factorization.

221312012321001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10538667253391.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 221312012321001 its reverse (100123210213122), we get a palindrome (321435222534123).

The spelling of 221312012321001 in words is "two hundred twenty-one trillion, three hundred twelve billion, twelve million, three hundred twenty-one thousand, one".