101302231031001 has 384 divisors, whose sum is σ = 202724624793600. Its totient is φ = 47041789132800.

The previous prime is 101302231030909. The next prime is 101302231031011. The reversal of 101302231031001 is 100130132203101.

101302231031001 is a `hidden beast` number, since 1 + 0 + 130 + 223 + 1 + 0 + 310 + 0 + 1 = 666.

It is not a de Polignac number, because 101302231031001 - 2¹⁷ = 101302230899929 is a prime.

It is a super-3 number, since 3×101302231031001³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (101302231031011) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 102222230616 + ... + 102222231606.

It is an arithmetic number, because the mean of its divisors is an integer number (527928710400).

Almost surely, 2^{101302231031001} is an apocalyptic number.

101302231031001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101302231031001 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

101302231031001 is a wasteful number, since it uses less digits than its factorization.

101302231031001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2197 (or 2194 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 101302231031001 its reverse (100130132203101), we get a palindrome (201432363234102).

It can be divided in two parts, 1013022 and 31031001, that added together give a palindrome (32044023).

The spelling of 101302231031001 in words is "one hundred one trillion, three hundred two billion, two hundred thirty-one million, thirty-one thousand, one".