101100100111093 has 4 divisors (see below), whose sum is σ = 101100142747660. Its totient is φ = 101100057474528.

The previous prime is 101100100111079. The next prime is 101100100111139. The reversal of 101100100111093 is 390111001001101.

It is a happy number.

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

It can be written as a sum of positive squares in 2 ways, for example, as 81826533823204 + 19273566287889 = 9045802^2 + 4390167^2 .

It is a cyclic number.

It is not a de Polignac number, because 101100100111093 - 2³⁷ = 100962661157621 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101100100111093.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101100100111393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17538030 + ... + 22578367.

It is an arithmetic number, because the mean of its divisors is an integer number (25275035686915).

Almost surely, 2^{101100100111093} is an apocalyptic number.

It is an amenable number.

101100100111093 is a deficient number, since it is larger than the sum of its proper divisors (42636567).

101100100111093 is an equidigital number, since it uses as much as digits as its factorization.

101100100111093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42636566.

The product of its (nonzero) digits is 27, while the sum is 19.

Adding to 101100100111093 its reverse (390111001001101), we get a palindrome (491211101112194).

The spelling of 101100100111093 in words is "one hundred one trillion, one hundred billion, one hundred million, one hundred eleven thousand, ninety-three".