102100102000111 has 16 divisors (see below), whose sum is σ = 103402750348800. Its totient is φ = 100803199156000.

The previous prime is 102100102000081. The next prime is 102100102000139. The reversal of 102100102000111 is 111000201001201.

It is a cyclic number.

It is not a de Polignac number, because 102100102000111 - 2²⁷ = 102099967782383 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 (102100102000811) 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, 1092038076 + ... + 1092131566.

It is an arithmetic number, because the mean of its divisors is an integer number (6462671896800).

Almost surely, 2^{102100102000111} is an apocalyptic number.

102100102000111 is a deficient number, since it is larger than the sum of its proper divisors (1302648348689).

102100102000111 is a wasteful number, since it uses less digits than its factorization.

102100102000111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124070.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 102100102000111 its reverse (111000201001201), we get a palindrome (213100303001312).

The spelling of 102100102000111 in words is "one hundred two trillion, one hundred billion, one hundred two million, one hundred eleven", and thus it is an aban number.