102111112110 has 128 divisors (see below), whose sum is σ = 295148427264. Its totient is φ = 22103769600.

The previous prime is 102111112109. The next prime is 102111112111. The reversal of 102111112110 is 11211111201.

It is an interprime number because it is at equal distance from previous prime (102111112109) and next prime (102111112111).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102111112111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 383172 + ... + 592488.

It is an arithmetic number, because the mean of its divisors is an integer number (2305847088).

Almost surely, 2^102111112110 is an apocalyptic number.

102111112110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102111112110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147574213632).

102111112110 is an abundant number, since it is smaller than the sum of its proper divisors (193037315154).

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

102111112110 is a wasteful number, since it uses less digits than its factorization.

102111112110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209458.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 102111112110 its reverse (11211111201), we get a palindrome (113322223311).

Subtracting from 102111112110 its reverse (11211111201), we obtain a palindrome (90900000909).

The spelling of 102111112110 in words is "one hundred two billion, one hundred eleven million, one hundred twelve thousand, one hundred ten".