1100001100093 has 16 divisors (see below), whose sum is σ = 1313120090880. Its totient is φ = 901507412736.

The previous prime is 1100001100067. The next prime is 1100001100097. The reversal of 1100001100093 is 3900011000011.

It is a happy number.

It is not a de Polignac number, because 1100001100093 - 2³⁷ = 962562146621 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 (1100001100097) 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, 26283580 + ... + 26325397.

It is an arithmetic number, because the mean of its divisors is an integer number (82070005680).

Almost surely, 2^{1100001100093} is an apocalyptic number.

It is an amenable number.

1100001100093 is a deficient number, since it is larger than the sum of its proper divisors (213118990787).

1100001100093 is a wasteful number, since it uses less digits than its factorization.

1100001100093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52609116.

The product of its (nonzero) digits is 27, while the sum is 16.

The spelling of 1100001100093 in words is "one trillion, one hundred billion, one million, one hundred thousand, ninety-three".