312213100210002 has 80 divisors (see below), whose sum is σ = 699795323771544. Its totient is φ = 104040288000000.

The previous prime is 312213100209971. The next prime is 312213100210009. The reversal of 312213100210002 is 200012001312213.

312213100210002 is a `hidden beast` number, since 31 + 221 + 310 + 0 + 2 + 100 + 0 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 233575560346041 + 78637539863961 = 15283179^2 + 8867781^2 .

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

It is not an unprimeable number, because it can be changed into a prime (312213100210009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11692923252 + ... + 11692949952.

Almost surely, 2^{312213100210002} is an apocalyptic number.

312213100210002 is an abundant number, since it is smaller than the sum of its proper divisors (387582223561542).

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

312213100210002 is a wasteful number, since it uses less digits than its factorization.

312213100210002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45337 (or 45328 counting only the distinct ones).

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

Adding to 312213100210002 its reverse (200012001312213), we get a palindrome (512225101522215).

The spelling of 312213100210002 in words is "three hundred twelve trillion, two hundred thirteen billion, one hundred million, two hundred ten thousand, two".