2112100011001 has 4 divisors (see below), whose sum is σ = 2161218615952. Its totient is φ = 2062981406052.

The previous prime is 2112100010981. The next prime is 2112100011017. The reversal of 2112100011001 is 1001100012112.

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 2112100011001 - 2²³ = 2112091622393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2112100041001) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 24559302411 + ... + 24559302496.

It is an arithmetic number, because the mean of its divisors is an integer number (540304653988).

Almost surely, 2^{2112100011001} is an apocalyptic number.

It is an amenable number.

2112100011001 is a deficient number, since it is larger than the sum of its proper divisors (49118604951).

2112100011001 is an equidigital number, since it uses as much as digits as its factorization.

2112100011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49118604950.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 2112100011001 its reverse (1001100012112), we get a palindrome (3113200023113).

The spelling of 2112100011001 in words is "two trillion, one hundred twelve billion, one hundred million, eleven thousand, one".