101000100110093 has 8 divisors (see below), whose sum is σ = 101094413705976. Its totient is φ = 100905790003200.

The previous prime is 101000100110053. The next prime is 101000100110113. The reversal of 101000100110093 is 390011001000101.

It can be written as a sum of positive squares in 4 ways, for example, as 42045913055524 + 58954187054569 = 6484282^2 + 7678163^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101000100110093 - 2⁶ = 101000100110029 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000100110003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58965713 + ... + 60654393.

It is an arithmetic number, because the mean of its divisors is an integer number (12636801713247).

Almost surely, 2^{101000100110093} is an apocalyptic number.

It is an amenable number.

101000100110093 is a deficient number, since it is larger than the sum of its proper divisors (94313595883).

101000100110093 is a wasteful number, since it uses less digits than its factorization.

101000100110093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1744495.

The product of its (nonzero) digits is 27, while the sum is 17.

Adding to 101000100110093 its reverse (390011001000101), we get a palindrome (491011101110194).

The spelling of 101000100110093 in words is "one hundred one trillion, one hundred million, one hundred ten thousand, ninety-three".