2102100000111 has 12 divisors (see below), whose sum is σ = 3214976470992. Its totient is φ = 1318964705856.

The previous prime is 2102100000073. The next prime is 2102100000127. The reversal of 2102100000111 is 1110000012012.

It is a happy number.

It is not a de Polignac number, because 2102100000111 - 2⁶ = 2102100000047 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 = 2102100000093 and 2102100000102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102100000131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6869607691 + ... + 6869607996.

It is an arithmetic number, because the mean of its divisors is an integer number (267914705916).

Almost surely, 2^{2102100000111} is an apocalyptic number.

2102100000111 is a deficient number, since it is larger than the sum of its proper divisors (1112876470881).

2102100000111 is a wasteful number, since it uses less digits than its factorization.

2102100000111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13739215710 (or 13739215707 counting only the distinct ones).

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

Adding to 2102100000111 its reverse (1110000012012), we get a palindrome (3212100012123).

The spelling of 2102100000111 in words is "two trillion, one hundred two billion, one hundred million, one hundred eleven", and thus it is an aban number.