101312101 has 16 divisors (see below), whose sum is σ = 113678208. Its totient is φ = 89510400.

The previous prime is 101312093. The next prime is 101312111. The reversal of 101312101 is 101213101.

It is a cyclic number.

It is not a de Polignac number, because 101312101 - 2³ = 101312093 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101312111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56125 + ... + 57901.

It is an arithmetic number, because the mean of its divisors is an integer number (7104888).

Almost surely, 2^101312101 is an apocalyptic number.

101312101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101312101 is a deficient number, since it is larger than the sum of its proper divisors (12366107).

101312101 is a wasteful number, since it uses less digits than its factorization.

101312101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1932.

The product of its (nonzero) digits is 6, while the sum is 10.

The square root of 101312101 is about 10065.3912492262. The cubic root of 101312101 is about 466.1801464158.

Adding to 101312101 its reverse (101213101), we get a palindrome (202525202).

The spelling of 101312101 in words is "one hundred one million, three hundred twelve thousand, one hundred one".