2002312012001 has 6 divisors (see below), whose sum is σ = 2329220095650. Its totient is φ = 1716267438816.

The previous prime is 2002312011967. The next prime is 2002312012007. The reversal of 2002312012001 is 1002102132002.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1115296517776 + 887015494225 = 1056076^2 + 941815^2 .

It is not a de Polignac number, because 2002312012001 - 2¹⁸ = 2002311749857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2002312012007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 20431755176 + ... + 20431755273.

It is an arithmetic number, because the mean of its divisors is an integer number (388203349275).

Almost surely, 2^{2002312012001} is an apocalyptic number.

It is an amenable number.

2002312012001 is a deficient number, since it is larger than the sum of its proper divisors (326908083649).

2002312012001 is an equidigital number, since it uses as much as digits as its factorization.

2002312012001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40863510463 (or 40863510456 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 2002312012001 its reverse (1002102132002), we get a palindrome (3004414144003).

The spelling of 2002312012001 in words is "two trillion, two billion, three hundred twelve million, twelve thousand, one".