2100100100111 has 4 divisors (see below), whose sum is σ = 2261646261672. Its totient is φ = 1938553938552.

The previous prime is 2100100100083. The next prime is 2100100100113. The reversal of 2100100100111 is 1110010010012.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 2100100100111 - 2¹⁰ = 2100100099087 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100100100113) 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 3 ways as a sum of consecutive naturals, for example, 80773080761 + ... + 80773080786.

It is an arithmetic number, because the mean of its divisors is an integer number (565411565418).

Almost surely, 2^{2100100100111} is an apocalyptic number.

2100100100111 is a deficient number, since it is larger than the sum of its proper divisors (161546161561).

2100100100111 is a wasteful number, since it uses less digits than its factorization.

2100100100111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161546161560.

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

Adding to 2100100100111 its reverse (1110010010012), we get a palindrome (3210110110123).

Subtracting from 2100100100111 its reverse (1110010010012), we obtain a palindrome (990090090099).

It can be divided in two parts, 210010010011 and 1, that added together give a palindrome (210010010012).

The spelling of 2100100100111 in words is "two trillion, one hundred billion, one hundred million, one hundred thousand, one hundred eleven".