101012113 has 16 divisors (see below), whose sum is σ = 117486720. Its totient is φ = 86144256.

The previous prime is 101012089. The next prime is 101012137. The reversal of 101012113 is 311210101.

It is an interprime number because it is at equal distance from previous prime (101012089) and next prime (101012137).

It is a cyclic number.

It is not a de Polignac number, because 101012113 - 2¹⁷ = 100881041 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 101012113.

It is not an unprimeable number, because it can be changed into a prime (101012143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 631 + ... + 14227.

It is an arithmetic number, because the mean of its divisors is an integer number (7342920).

Almost surely, 2^101012113 is an apocalyptic number.

It is an amenable number.

101012113 is a deficient number, since it is larger than the sum of its proper divisors (16474607).

101012113 is a wasteful number, since it uses less digits than its factorization.

101012113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13656.

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

The square root of 101012113 is about 10050.4782473273. The cubic root of 101012113 is about 465.7195673154.

Adding to 101012113 its reverse (311210101), we get a palindrome (412222214).

The spelling of 101012113 in words is "one hundred one million, twelve thousand, one hundred thirteen".