312100101 has 8 divisors (see below), whose sum is σ = 462370560. Its totient is φ = 208066716.

The previous prime is 312100097. The next prime is 312100109. The reversal of 312100101 is 101001213.

It is not a de Polignac number, because 312100101 - 2² = 312100097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312100109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5779605 + ... + 5779658.

It is an arithmetic number, because the mean of its divisors is an integer number (57796320).

Almost surely, 2^312100101 is an apocalyptic number.

It is an amenable number.

312100101 is a deficient number, since it is larger than the sum of its proper divisors (150270459).

312100101 is a wasteful number, since it uses less digits than its factorization.

312100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11559272 (or 11559266 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 312100101 is about 17666.3550570003. The cubic root of 312100101 is about 678.3148158163.

Adding to 312100101 its reverse (101001213), we get a palindrome (413101314).

The spelling of 312100101 in words is "three hundred twelve million, one hundred thousand, one hundred one".