100010010111093 has 20 divisors (see below), whose sum is σ = 149398693724940. Its totient is φ = 66672882948672.

The previous prime is 100010010111079. The next prime is 100010010111127. The reversal of 100010010111093 is 390111010010001.

It can be written as a sum of positive squares in 2 ways, for example, as 79313861423889 + 20696148687204 = 8905833^2 + 4549302^2 .

It is not a de Polignac number, because 100010010111093 - 2⁵ = 100010010111061 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100010010111023) 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, 7866603 + ... + 16183431.

It is an arithmetic number, because the mean of its divisors is an integer number (7469934686247).

Almost surely, 2^{100010010111093} is an apocalyptic number.

It is an amenable number.

100010010111093 is a deficient number, since it is larger than the sum of its proper divisors (49388683613847).

100010010111093 is an equidigital number, since it uses as much as digits as its factorization.

100010010111093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8465298 (or 8465289 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 18.

Adding to 100010010111093 its reverse (390111010010001), we get a palindrome (490121020121094).

The spelling of 100010010111093 in words is "one hundred trillion, ten billion, ten million, one hundred eleven thousand, ninety-three".