101312300101 has 8 divisors (see below), whose sum is σ = 104101230584. Its totient is φ = 98526041280.

The previous prime is 101312300083. The next prime is 101312300107. The reversal of 101312300101 is 101003213101.

It can be written as a sum of positive squares in 4 ways, for example, as 70071384100 + 31240916001 = 264710^2 + 176751^2 .

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 101312300101 - 2⁷ = 101312299973 is a prime.

It is a super-2 number, since 2×101312300101² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101312300107) 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, 590910 + ... + 742831.

It is an arithmetic number, because the mean of its divisors is an integer number (13012653823).

Almost surely, 2^101312300101 is an apocalyptic number.

It is an amenable number.

101312300101 is a deficient number, since it is larger than the sum of its proper divisors (2788930483).

101312300101 is a wasteful number, since it uses less digits than its factorization.

101312300101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1335831.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 101312300101 its reverse (101003213101), we get a palindrome (202315513202).

The spelling of 101312300101 in words is "one hundred one billion, three hundred twelve million, three hundred thousand, one hundred one".