101012131 has 6 divisors (see below), whose sum is σ = 111029996. Its totient is φ = 91829100.

The previous prime is 101012089. The next prime is 101012137. The reversal of 101012131 is 131210101.

It is not a de Polignac number, because 101012131 - 2²¹ = 98914979 is a prime.

It is a super-2 number, since 2×101012131² = 20406901218322322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101012137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 417285 + ... + 417526.

Almost surely, 2^101012131 is an apocalyptic number.

101012131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101012131 is a deficient number, since it is larger than the sum of its proper divisors (10017865).

101012131 is an equidigital number, since it uses as much as digits as its factorization.

101012131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834833 (or 834822 counting only the distinct ones).

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

The square root of 101012131 is about 10050.4791428071. The cubic root of 101012131 is about 465.7195949786.

Adding to 101012131 its reverse (131210101), we get a palindrome (232222232).

The spelling of 101012131 in words is "one hundred one million, twelve thousand, one hundred thirty-one".