101013101 has 16 divisors (see below), whose sum is σ = 122227200. Its totient is φ = 81548208.

The previous prime is 101013091. The next prime is 101013127. The reversal of 101013101 is 101310101.

It is not a de Polignac number, because 101013101 - 2¹⁰ = 101012077 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 (101013151) 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, 21686 + ... + 25928.

It is an arithmetic number, because the mean of its divisors is an integer number (7639200).

Almost surely, 2^101013101 is an apocalyptic number.

It is an amenable number.

101013101 is a deficient number, since it is larger than the sum of its proper divisors (21214099).

101013101 is a wasteful number, since it uses less digits than its factorization.

101013101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4448.

The product of its (nonzero) digits is 3, while the sum is 8.

The square root of 101013101 is about 10050.5273990970. The cubic root of 101013101 is about 465.7210857123.

Adding to 101013101 its reverse (101310101), we get a palindrome (202323202).

The spelling of 101013101 in words is "one hundred one million, thirteen thousand, one hundred one".