101000100031 has 4 divisors (see below), whose sum is σ = 105391408752. Its totient is φ = 96608791312.

The previous prime is 101000100029. The next prime is 101000100037. The reversal of 101000100031 is 130001000101.

It is a happy number.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 101000100031 - 2¹ = 101000100029 is a prime.

It is a super-2 number, since 2×101000100031² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101000099987 and 101000100023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000100037) 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 3 ways as a sum of consecutive naturals, for example, 2195654326 + ... + 2195654371.

It is an arithmetic number, because the mean of its divisors is an integer number (26347852188).

Almost surely, 2^101000100031 is an apocalyptic number.

101000100031 is a deficient number, since it is larger than the sum of its proper divisors (4391308721).

101000100031 is an equidigital number, since it uses as much as digits as its factorization.

101000100031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4391308720.

The product of its (nonzero) digits is 3, while the sum is 7.

Adding to 101000100031 its reverse (130001000101), we get a palindrome (231001100132).

The spelling of 101000100031 in words is "one hundred one billion, one hundred thousand, thirty-one".