2100101110111 has 24 divisors (see below), whose sum is σ = 2216609506800. Its totient is φ = 1987316755200.

The previous prime is 2100101110109. The next prime is 2100101110139. The reversal of 2100101110111 is 1110111010012.

It is not a de Polignac number, because 2100101110111 - 2¹ = 2100101110109 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 (2100101110171) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30287800 + ... + 30357058.

It is an arithmetic number, because the mean of its divisors is an integer number (92358729450).

Almost surely, 2^{2100101110111} is an apocalyptic number.

2100101110111 is a deficient number, since it is larger than the sum of its proper divisors (116508396689).

2100101110111 is an equidigital number, since it uses as much as digits as its factorization.

2100101110111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69691 (or 69630 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 2100101110111 its reverse (1110111010012), we get a palindrome (3210212120123).

The spelling of 2100101110111 in words is "two trillion, one hundred billion, one hundred one million, one hundred ten thousand, one hundred eleven".