101012331 has 16 divisors (see below), whose sum is σ = 158084864. Its totient is φ = 56160864.

The previous prime is 101012321. The next prime is 101012333. The reversal of 101012331 is 133210101.

It is not a de Polignac number, because 101012331 - 2¹⁰ = 101011307 is a prime.

It is a super-2 number, since 2×101012331² = 20406982028107122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101012333) 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, 64225 + ... + 65778.

It is an arithmetic number, because the mean of its divisors is an integer number (9880304).

Almost surely, 2^101012331 is an apocalyptic number.

101012331 is a deficient number, since it is larger than the sum of its proper divisors (57072533).

101012331 is a wasteful number, since it uses less digits than its factorization.

101012331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130050.

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 101012331 is about 10050.4890925765. The cubic root of 101012331 is about 465.7199023472.

Adding to 101012331 its reverse (133210101), we get a palindrome (234222432).

The spelling of 101012331 in words is "one hundred one million, twelve thousand, three hundred thirty-one".