101041114031 has 16 divisors (see below), whose sum is σ = 125688332448. Its totient is φ = 79802112000.

The previous prime is 101041113991. The next prime is 101041114033. The reversal of 101041114031 is 130411140101.

It is not a de Polignac number, because 101041114031 - 2¹⁰ = 101041113007 is a prime.

It is a super-2 number, since 2×101041114031² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101041114033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20779370 + ... + 20784231.

It is an arithmetic number, because the mean of its divisors is an integer number (7855520778).

Almost surely, 2^101041114031 is an apocalyptic number.

101041114031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101041114031 is a deficient number, since it is larger than the sum of its proper divisors (24647218417).

101041114031 is a wasteful number, since it uses less digits than its factorization.

101041114031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41563642.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 101041114031 its reverse (130411140101), we get a palindrome (231452254132).

The spelling of 101041114031 in words is "one hundred one billion, forty-one million, one hundred fourteen thousand, thirty-one".