2100100093 has 8 divisors (see below), whose sum is σ = 2584738688. Its totient is φ = 1661617584.

The previous prime is 2100100081. The next prime is 2100100097. The reversal of 2100100093 is 3900010012.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2100100093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100100097) 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 7 ways as a sum of consecutive naturals, for example, 11538921 + ... + 11539102.

It is an arithmetic number, because the mean of its divisors is an integer number (323092336).

Almost surely, 2^2100100093 is an apocalyptic number.

It is an amenable number.

2100100093 is a deficient number, since it is larger than the sum of its proper divisors (484638595).

2100100093 is a wasteful number, since it uses less digits than its factorization.

2100100093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23078043.

The product of its (nonzero) digits is 54, while the sum is 16.

The square root of 2100100093 is about 45826.8490407097. The cubic root of 2100100093 is about 1280.5995102215.

It can be divided in two parts, 210010009 and 3, that added together give a palindrome (210010012).

The spelling of 2100100093 in words is "two billion, one hundred million, one hundred thousand, ninety-three".