114130032100 has 144 divisors (see below), whose sum is σ = 299887056000. Its totient is φ = 36804556800.

The previous prime is 114130032031. The next prime is 114130032119. The reversal of 114130032100 is 1230031411.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32616151 + ... + 32619649.

It is an arithmetic number, because the mean of its divisors is an integer number (2082549000).

Almost surely, 2^114130032100 is an apocalyptic number.

114130032100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114130032100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149943528000).

114130032100 is an abundant number, since it is smaller than the sum of its proper divisors (185757023900).

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

114130032100 is a wasteful number, since it uses less digits than its factorization.

114130032100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6278 (or 6271 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 114130032100 its reverse (1230031411), we get a palindrome (115360063511).

The spelling of 114130032100 in words is "one hundred fourteen billion, one hundred thirty million, thirty-two thousand, one hundred".