312121310100201 has 48 divisors (see below), whose sum is σ = 554993505730560. Its totient is φ = 165097226717280.

The previous prime is 312121310100181. The next prime is 312121310100209. The reversal of 312121310100201 is 102001013121213.

312121310100201 is a `hidden beast` number, since 3 + 121 + 21 + 310 + 10 + 0 + 201 = 666.

It is not a de Polignac number, because 312121310100201 - 2¹⁷ = 312121309969129 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (312121310100209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3474223321 + ... + 3474313158.

It is an arithmetic number, because the mean of its divisors is an integer number (11562364702720).

Almost surely, 2^{312121310100201} is an apocalyptic number.

312121310100201 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

312121310100201 is a deficient number, since it is larger than the sum of its proper divisors (242872195630359).

312121310100201 is a wasteful number, since it uses less digits than its factorization.

312121310100201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6948536546 (or 6948536543 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 312121310100201 its reverse (102001013121213), we get a palindrome (414122323221414).

The spelling of 312121310100201 in words is "three hundred twelve trillion, one hundred twenty-one billion, three hundred ten million, one hundred thousand, two hundred one".