2100111110001 has 16 divisors (see below), whose sum is σ = 3117510760000. Its totient is φ = 1397268304704.

The previous prime is 2100111109961. The next prime is 2100111110017. The reversal of 2100111110001 is 1000111110012.

It is not a de Polignac number, because 2100111110001 - 2⁶ = 2100111109937 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2100111110081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77924296 + ... + 77951241.

It is an arithmetic number, because the mean of its divisors is an integer number (194844422500).

Almost surely, 2^{2100111110001} is an apocalyptic number.

It is an amenable number.

2100111110001 is a deficient number, since it is larger than the sum of its proper divisors (1017399649999).

2100111110001 is a wasteful number, since it uses less digits than its factorization.

2100111110001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155876045 (or 155876039 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 2100111110001 its reverse (1000111110012), we get a palindrome (3100222220013).

The spelling of 2100111110001 in words is "two trillion, one hundred billion, one hundred eleven million, one hundred ten thousand, one".