102112100000111 has 8 divisors (see below), whose sum is σ = 105569967250944. Its totient is φ = 98664478283160.

The previous prime is 102112100000107. The next prime is 102112100000189. The reversal of 102112100000111 is 111000001211201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102112100000111 - 2² = 102112100000107 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102112100000092 and 102112100000101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102112100002111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2561363201 + ... + 2561403066.

It is an arithmetic number, because the mean of its divisors is an integer number (13196245906368).

Almost surely, 2^{102112100000111} is an apocalyptic number.

102112100000111 is a deficient number, since it is larger than the sum of its proper divisors (3457867250833).

102112100000111 is an equidigital number, since it uses as much as digits as its factorization.

102112100000111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5122766941.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 102112100000111 its reverse (111000001211201), we get a palindrome (213112101211312).

The spelling of 102112100000111 in words is "one hundred two trillion, one hundred twelve billion, one hundred million, one hundred eleven", and thus it is an aban number.