2100111210011 has 8 divisors (see below), whose sum is σ = 2131739465040. Its totient is φ = 2068491287808.

The previous prime is 2100111209971. The next prime is 2100111210013. The reversal of 2100111210011 is 1100121110012.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2100111210011 - 2¹⁴ = 2100111193627 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2100111209974 and 2100111210001.

It is not an unprimeable number, because it can be changed into a prime (2100111210013) 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, 1574426 + ... + 2584383.

It is an arithmetic number, because the mean of its divisors is an integer number (266467433130).

Almost surely, 2^{2100111210011} is an apocalyptic number.

2100111210011 is a deficient number, since it is larger than the sum of its proper divisors (31628255029).

2100111210011 is an equidigital number, since it uses as much as digits as its factorization.

2100111210011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4166413.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 2100111210011 its reverse (1100121110012), we get a palindrome (3200232320023).

Subtracting from 2100111210011 its reverse (1100121110012), we obtain a palindrome (999990099999).

It can be divided in two parts, 2100 and 111210011, that added together give a palindrome (111212111).

The spelling of 2100111210011 in words is "two trillion, one hundred billion, one hundred eleven million, two hundred ten thousand, eleven".