100020031101 has 24 divisors (see below), whose sum is σ = 146888048216. Its totient is φ = 65566247040.

The previous prime is 100020031043. The next prime is 100020031109. The reversal of 100020031101 is 101130020001.

It can be written as a sum of positive squares in 4 ways, for example, as 3516608601 + 96503422500 = 59301^2 + 310650^2 .

It is not a de Polignac number, because 100020031101 - 2²⁵ = 99986476669 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100020031109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1824771 + ... + 1878783.

Almost surely, 2^100020031101 is an apocalyptic number.

It is an amenable number.

100020031101 is a deficient number, since it is larger than the sum of its proper divisors (46868017115).

100020031101 is a wasteful number, since it uses less digits than its factorization.

100020031101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57453 (or 57450 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 100020031101 its reverse (101130020001), we get a palindrome (201150051102).

It can be divided in two parts, 1000200 and 31101, that added together give a palindrome (1031301).

The spelling of 100020031101 in words is "one hundred billion, twenty million, thirty-one thousand, one hundred one".