102100000111 has 16 divisors (see below), whose sum is σ = 106893783360. Its totient is φ = 97395540480.

The previous prime is 102100000099. The next prime is 102100000117. The reversal of 102100000111 is 111000001201.

It is a cyclic number.

It is not a de Polignac number, because 102100000111 - 2³¹ = 99952516463 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102100000094 and 102100000103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102100000117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1253901 + ... + 1332841.

It is an arithmetic number, because the mean of its divisors is an integer number (6680861460).

Almost surely, 2^102100000111 is an apocalyptic number.

102100000111 is a deficient number, since it is larger than the sum of its proper divisors (4793783249).

102100000111 is a wasteful number, since it uses less digits than its factorization.

102100000111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79506.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 102100000111 its reverse (111000001201), we get a palindrome (213100001312).

The spelling of 102100000111 in words is "one hundred two billion, one hundred million, one hundred eleven", and thus it is an aban number.