101100110100093 has 12 divisors (see below), whose sum is σ = 157266837933660. Its totient is φ = 62215452369216.

The previous prime is 101100110100071. The next prime is 101100110100097. The reversal of 101100110100093 is 390001011001101.

It can be written as a sum of positive squares in 2 ways, for example, as 14342565716964 + 86757544383129 = 3787158^2 + 9314373^2 .

It is not a de Polignac number, because 101100110100093 - 2¹² = 101100110095997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101100110100097) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 432051752448 + ... + 432051752681.

It is an arithmetic number, because the mean of its divisors is an integer number (13105569827805).

Almost surely, 2^{101100110100093} is an apocalyptic number.

101100110100093 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101100110100093 is a deficient number, since it is larger than the sum of its proper divisors (56166727833567).

101100110100093 is a wasteful number, since it uses less digits than its factorization.

101100110100093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864103505148 (or 864103505145 counting only the distinct ones).

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

Adding to 101100110100093 its reverse (390001011001101), we get a palindrome (491101121101194).

The spelling of 101100110100093 in words is "one hundred one trillion, one hundred billion, one hundred ten million, one hundred thousand, ninety-three".