312010142100101 has 8 divisors (see below), whose sum is σ = 315532421760600. Its totient is φ = 308488230167040.

The previous prime is 312010142100091. The next prime is 312010142100127. The reversal of 312010142100101 is 101001241010213.

It can be written as a sum of positive squares in 4 ways, for example, as 21529590720001 + 290480551380100 = 4639999^2 + 17043490^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 312010142100101 - 2³⁰ = 312009068358277 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 312010142100101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312010142100131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90225140 + ... + 93619421.

It is an arithmetic number, because the mean of its divisors is an integer number (39441552720075).

Almost surely, 2^{312010142100101} is an apocalyptic number.

It is an amenable number.

312010142100101 is a deficient number, since it is larger than the sum of its proper divisors (3522279660499).

312010142100101 is a wasteful number, since it uses less digits than its factorization.

312010142100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183863719.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 312010142100101 its reverse (101001241010213), we get a palindrome (413011383110314).

The spelling of 312010142100101 in words is "three hundred twelve trillion, ten billion, one hundred forty-two million, one hundred thousand, one hundred one".