1000100111093 has 16 divisors (see below), whose sum is σ = 1018442069040. Its totient is φ = 981928894464.

The previous prime is 1000100111071. The next prime is 1000100111099. The reversal of 1000100111093 is 3901110010001.

It can be written as a sum of positive squares in 8 ways, for example, as 46475598724 + 953624512369 = 215582^2 + 976537^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000100111093 - 2¹⁴ = 1000100094709 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 (1000100111099) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83663405 + ... + 83675357.

It is an arithmetic number, because the mean of its divisors is an integer number (63652629315).

Almost surely, 2^{1000100111093} is an apocalyptic number.

It is an amenable number.

1000100111093 is a deficient number, since it is larger than the sum of its proper divisors (18341957947).

1000100111093 is a wasteful number, since it uses less digits than its factorization.

1000100111093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18968.

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

Adding to 1000100111093 its reverse (3901110010001), we get a palindrome (4901210121094).

The spelling of 1000100111093 in words is "one trillion, one hundred million, one hundred eleven thousand, ninety-three".