101010000100113 has 20 divisors (see below), whose sum is σ = 162498518681268. Its totient is φ = 62160000060960.

The previous prime is 101010000100111. The next prime is 101010000100213. The reversal of 101010000100113 is 311001000010101.

It can be written as a sum of positive squares in 2 ways, for example, as 36081730335249 + 64928269764864 = 6006807^2 + 8057808^2 .

It is not a de Polignac number, because 101010000100113 - 2¹ = 101010000100111 is a prime.

It is a super-2 number, since 2×101010000100113² (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 101010000100095 and 101010000100104.

It is not an unprimeable number, because it can be changed into a prime (101010000100111) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 47962961958 + ... + 47962964063.

Almost surely, 2^{101010000100113} is an apocalyptic number.

101010000100113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101010000100113 is a deficient number, since it is larger than the sum of its proper divisors (61488518581155).

101010000100113 is an equidigital number, since it uses as much as digits as its factorization.

101010000100113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95925926046 (or 95925926037 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

Adding to 101010000100113 its reverse (311001000010101), we get a palindrome (412011000110214).

The spelling of 101010000100113 in words is "one hundred one trillion, ten billion, one hundred thousand, one hundred thirteen".