110001101100093 has 192 divisors, whose sum is σ = 199420935168000. Its totient is φ = 58686616969344.

The previous prime is 110001101100071. The next prime is 110001101100151. The reversal of 110001101100093 is 390001101100011.

It is not a de Polignac number, because 110001101100093 - 2¹⁸ = 110001100837949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110001101100893) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2948361123 + ... + 2948398431.

It is an arithmetic number, because the mean of its divisors is an integer number (1038650704000).

Almost surely, 2^{110001101100093} is an apocalyptic number.

It is an amenable number.

110001101100093 is a deficient number, since it is larger than the sum of its proper divisors (89419834067907).

110001101100093 is a wasteful number, since it uses less digits than its factorization.

110001101100093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37989 (or 37964 counting only the distinct ones).

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

The spelling of 110001101100093 in words is "one hundred ten trillion, one billion, one hundred one million, one hundred thousand, ninety-three".