312200100211101 has 32 divisors (see below), whose sum is σ = 420282080000640. Its totient is φ = 206138277734400.

The previous prime is 312200100211079. The next prime is 312200100211163. The reversal of 312200100211101 is 101112001002213.

It is not a de Polignac number, because 312200100211101 - 2⁶ = 312200100211037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312200100211001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96284191 + ... + 99473843.

It is an arithmetic number, because the mean of its divisors is an integer number (13133815000020).

Almost surely, 2^{312200100211101} is an apocalyptic number.

It is an amenable number.

312200100211101 is a deficient number, since it is larger than the sum of its proper divisors (108081979789539).

312200100211101 is a wasteful number, since it uses less digits than its factorization.

312200100211101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3190637.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 312200100211101 its reverse (101112001002213), we get a palindrome (413312101213314).

The spelling of 312200100211101 in words is "three hundred twelve trillion, two hundred billion, one hundred million, two hundred eleven thousand, one hundred one".