114102002112 has 84 divisors (see below), whose sum is σ = 351183869640. Its totient is φ = 32600569344.

The previous prime is 114102002009. The next prime is 114102002117. The reversal of 114102002112 is 211200201411.

114102002112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (84).

It is a junction number, because it is equal to n+sod(n) for n = 114102002091 and 114102002100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114102002117) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6054687 + ... + 6073502.

Almost surely, 2^114102002112 is an apocalyptic number.

114102002112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114102002112 is an abundant number, since it is smaller than the sum of its proper divisors (237081867528).

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

114102002112 is a wasteful number, since it uses less digits than its factorization.

114102002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12128218 (or 12128201 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 114102002112 its reverse (211200201411), we get a palindrome (325302203523).

The spelling of 114102002112 in words is "one hundred fourteen billion, one hundred two million, two thousand, one hundred twelve".