102100000110111 has 12 divisors (see below), whose sum is σ = 147767518175160. Its totient is φ = 67932940476240.

The previous prime is 102100000110103. The next prime is 102100000110187. The reversal of 102100000110111 is 111011000001201.

It is not a de Polignac number, because 102100000110111 - 2³ = 102100000110103 is a prime.

It is a super-3 number, since 3×102100000110111³ (a number of 43 digits) contains 333 as substring.

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 = 102100000110093 and 102100000110102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102100000110211) 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, 11143850485 + ... + 11143859646.

It is an arithmetic number, because the mean of its divisors is an integer number (12313959847930).

Almost surely, 2^{102100000110111} is an apocalyptic number.

102100000110111 is a deficient number, since it is larger than the sum of its proper divisors (45667518065049).

102100000110111 is a wasteful number, since it uses less digits than its factorization.

102100000110111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22287710646 (or 22287710643 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 102100000110111 its reverse (111011000001201), we get a palindrome (213111000111312).

The spelling of 102100000110111 in words is "one hundred two trillion, one hundred billion, one hundred ten thousand, one hundred eleven".