110011000100093 has 16 divisors (see below), whose sum is σ = 115829362218240. Its totient is φ = 104195471688000.

The previous prime is 110011000100081. The next prime is 110011000100129. The reversal of 110011000100093 is 390001000110011.

It is a cyclic number.

It is not a de Polignac number, because 110011000100093 - 2⁴ = 110011000100077 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 (110011000100893) 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, 2150685068 + ... + 2150736218.

It is an arithmetic number, because the mean of its divisors is an integer number (7239335138640).

Almost surely, 2^{110011000100093} is an apocalyptic number.

It is an amenable number.

110011000100093 is a deficient number, since it is larger than the sum of its proper divisors (5818362118147).

110011000100093 is a wasteful number, since it uses less digits than its factorization.

110011000100093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76628.

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

The spelling of 110011000100093 in words is "one hundred ten trillion, eleven billion, one hundred thousand, ninety-three".