2100110100011 has 32 divisors (see below), whose sum is σ = 2673561074688. Its totient is φ = 1602250467840.

The previous prime is 2100110099959. The next prime is 2100110100017. The reversal of 2100110100011 is 1100010110012.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-2100110100011 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2100110100017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 593495 + ... + 2133648.

It is an arithmetic number, because the mean of its divisors is an integer number (83548783584).

Almost surely, 2^{2100110100011} is an apocalyptic number.

2100110100011 is a deficient number, since it is larger than the sum of its proper divisors (573450974677).

2100110100011 is a wasteful number, since it uses less digits than its factorization.

2100110100011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2727371.

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

Adding to 2100110100011 its reverse (1100010110012), we get a palindrome (3200120210023).

The spelling of 2100110100011 in words is "two trillion, one hundred billion, one hundred ten million, one hundred thousand, eleven".