2100101011993 has 4 divisors (see below), whose sum is σ = 2100104558608. Its totient is φ = 2100097465380.

The previous prime is 2100101011969. The next prime is 2100101012011. The reversal of 2100101011993 is 3991101010012.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 2100101011993 - 2⁵ = 2100101011961 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2100101011963) 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 3 ways as a sum of consecutive naturals, for example, 646371 + ... + 2148952.

It is an arithmetic number, because the mean of its divisors is an integer number (525026139652).

Almost surely, 2^{2100101011993} is an apocalyptic number.

It is an amenable number.

2100101011993 is a deficient number, since it is larger than the sum of its proper divisors (3546615).

2100101011993 is an equidigital number, since it uses as much as digits as its factorization.

2100101011993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3546614.

The product of its (nonzero) digits is 486, while the sum is 28.

The spelling of 2100101011993 in words is "two trillion, one hundred billion, one hundred one million, eleven thousand, nine hundred ninety-three".