2101101093 has 64 divisors (see below), whose sum is σ = 3877601280. Its totient is φ = 1094814144.

The previous prime is 2101101049. The next prime is 2101101109. The reversal of 2101101093 is 3901011012.

It is not a de Polignac number, because 2101101093 - 2⁶ = 2101101029 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 (2101101593) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 198780 + ... + 209082.

It is an arithmetic number, because the mean of its divisors is an integer number (60587520).

Almost surely, 2^2101101093 is an apocalyptic number.

It is an amenable number.

2101101093 is a deficient number, since it is larger than the sum of its proper divisors (1776500187).

2101101093 is a wasteful number, since it uses less digits than its factorization.

2101101093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10415 (or 10409 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

The square root of 2101101093 is about 45837.7692847285. The cubic root of 2101101093 is about 1280.8029412390.

The spelling of 2101101093 in words is "two billion, one hundred one million, one hundred one thousand, ninety-three".