102111114 has 16 divisors (see below), whose sum is σ = 233396928. Its totient is φ = 29174592.

The previous prime is 102111103. The next prime is 102111151. The reversal of 102111114 is 411111201.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 102111114.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1215567 + ... + 1215650.

It is an arithmetic number, because the mean of its divisors is an integer number (14587308).

Almost surely, 2^102111114 is an apocalyptic number.

102111114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

102111114 is an abundant number, since it is smaller than the sum of its proper divisors (131285814).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102111114 is a wasteful number, since it uses less digits than its factorization.

102111114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2431229.

The product of its (nonzero) digits is 8, while the sum is 12.

The square root of 102111114 is about 10105.0044037596. The cubic root of 102111114 is about 467.4024717675.

Adding to 102111114 its reverse (411111201), we get a palindrome (513222315).

It can be divided in two parts, 10211 and 1114, that added together give a triangular number (11325 = T₁₅₀).

The spelling of 102111114 in words is "one hundred two million, one hundred eleven thousand, one hundred fourteen".