312021202102002 has 48 divisors (see below), whose sum is σ = 677673420547032. Its totient is φ = 103756913579520.

The previous prime is 312021202101991. The next prime is 312021202102013. The reversal of 312021202102002 is 200201202120213.

312021202102002 is a `hidden beast` number, since 31 + 202 + 1 + 20 + 210 + 200 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (312021202101991) and next prime (312021202102013).

It can be written as a sum of positive squares in 4 ways, for example, as 224969671022121 + 87051531079881 = 14998989^2 + 9330141^2 .

It is a super-2 number, since 2×312021202102002² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6907002 + ... + 25918122.

Almost surely, 2^{312021202102002} is an apocalyptic number.

312021202102002 is an abundant number, since it is smaller than the sum of its proper divisors (365652218445030).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

312021202102002 is a wasteful number, since it uses less digits than its factorization.

312021202102002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19013323 (or 19013320 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 312021202102002 its reverse (200201202120213), we get a palindrome (512222404222215).

The spelling of 312021202102002 in words is "three hundred twelve trillion, twenty-one billion, two hundred two million, one hundred two thousand, two".