3121223021001 has 12 divisors (see below), whose sum is σ = 4510117423812. Its totient is φ = 2080038037536.

The previous prime is 3121223020999. The next prime is 3121223021051. The reversal of 3121223021001 is 1001203221213.

It can be written as a sum of positive squares in 2 ways, for example, as 288562352400 + 2832660668601 = 537180^2 + 1683051^2 .

It is not a de Polignac number, because 3121223021001 - 2¹ = 3121223020999 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3121223021051) 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, 64750386 + ... + 64798571.

It is an arithmetic number, because the mean of its divisors is an integer number (375843118651).

Almost surely, 2^{3121223021001} is an apocalyptic number.

It is an amenable number.

3121223021001 is a deficient number, since it is larger than the sum of its proper divisors (1388894402811).

3121223021001 is a wasteful number, since it uses less digits than its factorization.

3121223021001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129551640 (or 129551637 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 3121223021001 its reverse (1001203221213), we get a palindrome (4122426242214).

The spelling of 3121223021001 in words is "three trillion, one hundred twenty-one billion, two hundred twenty-three million, twenty-one thousand, one".