2100011011001 has 4 divisors (see below), whose sum is σ = 2100107981604. Its totient is φ = 2099914040400.

The previous prime is 2100011010991. The next prime is 2100011011013. The reversal of 2100011011001 is 1001101100012.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 805149084601 + 1294861926400 = 897301^2 + 1137920^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100011011001 - 2²⁶ = 2099943902137 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2100011011001.

It is not an unprimeable number, because it can be changed into a prime (2100011014001) 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, 48452810 + ... + 48496131.

It is an arithmetic number, because the mean of its divisors is an integer number (525026995401).

Almost surely, 2^{2100011011001} is an apocalyptic number.

It is an amenable number.

2100011011001 is a deficient number, since it is larger than the sum of its proper divisors (96970603).

2100011011001 is an equidigital number, since it uses as much as digits as its factorization.

2100011011001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96970602.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 2100011011001 its reverse (1001101100012), we get a palindrome (3101112111013).

The spelling of 2100011011001 in words is "two trillion, one hundred billion, eleven million, eleven thousand, one".