101110001000093 has 8 divisors (see below), whose sum is σ = 101884316588736. Its totient is φ = 100335723040800.

The previous prime is 101110001000087. The next prime is 101110001000117. The reversal of 101110001000093 is 390000100011101.

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 101110001000093 - 2⁸ = 101110000999837 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 (101110001000003) 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, 4000913 + ... + 14772518.

It is an arithmetic number, because the mean of its divisors is an integer number (12735539573592).

Almost surely, 2^{101110001000093} is an apocalyptic number.

It is an amenable number.

101110001000093 is a deficient number, since it is larger than the sum of its proper divisors (774315588643).

101110001000093 is a wasteful number, since it uses less digits than its factorization.

101110001000093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18814675.

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

Adding to 101110001000093 its reverse (390000100011101), we get a palindrome (491110101011194).

The spelling of 101110001000093 in words is "one hundred one trillion, one hundred ten billion, one million, ninety-three", and thus it is an aban number.