2100111001001 has 8 divisors (see below), whose sum is σ = 2261670559680. Its totient is φ = 1938553236432.

The previous prime is 2100111000979. The next prime is 2100111001013. The reversal of 2100111001001 is 1001001110012.

It is a happy number.

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-2100111001001 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2100111001001.

It is not an unprimeable number, because it can be changed into a prime (2100111001201) 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, 2919230 + ... + 3566808.

It is an arithmetic number, because the mean of its divisors is an integer number (282708819960).

Almost surely, 2^{2100111001001} is an apocalyptic number.

It is an amenable number.

2100111001001 is a deficient number, since it is larger than the sum of its proper divisors (161559558679).

2100111001001 is a wasteful number, since it uses less digits than its factorization.

2100111001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897055.

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

Adding to 2100111001001 its reverse (1001001110012), we get a palindrome (3101112111013).

The spelling of 2100111001001 in words is "two trillion, one hundred billion, one hundred eleven million, one thousand, one".