101011000001093 has 32 divisors (see below), whose sum is σ = 124478510956800. Its totient is φ = 79819746195456.

The previous prime is 101011000001081. The next prime is 101011000001123. The reversal of 101011000001093 is 390100000110101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101011000001093 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101011000001893) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 229869173 + ... + 230308181.

It is an arithmetic number, because the mean of its divisors is an integer number (3889953467400).

Almost surely, 2^{101011000001093} is an apocalyptic number.

101011000001093 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101011000001093 is a deficient number, since it is larger than the sum of its proper divisors (23467510955707).

101011000001093 is a wasteful number, since it uses less digits than its factorization.

101011000001093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442221.

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

Adding to 101011000001093 its reverse (390100000110101), we get a palindrome (491111000111194).

The spelling of 101011000001093 in words is "one hundred one trillion, eleven billion, one thousand, ninety-three".