2102100111 has 24 divisors (see below), whose sum is σ = 3270598656. Its totient is φ = 1297224720.

The previous prime is 2102100103. The next prime is 2102100127. The reversal of 2102100111 is 1110012012.

It is a happy number.

It is not a de Polignac number, because 2102100111 - 2³ = 2102100103 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 2102100093 and 2102100102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102100191) 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, 157375 + ... + 170208.

It is an arithmetic number, because the mean of its divisors is an integer number (136274944).

Almost surely, 2^2102100111 is an apocalyptic number.

2102100111 is a deficient number, since it is larger than the sum of its proper divisors (1168498545).

2102100111 is a wasteful number, since it uses less digits than its factorization.

2102100111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327643 (or 327640 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 2102100111 is about 45848.6653131801. The cubic root of 2102100111 is about 1281.0059050491.

Adding to 2102100111 its reverse (1110012012), we get a palindrome (3212112123).

The spelling of 2102100111 in words is "two billion, one hundred two million, one hundred thousand, one hundred eleven".