114145214100 has 72 divisors (see below), whose sum is σ = 330967754208. Its totient is φ = 30373507200.

The previous prime is 114145214089. The next prime is 114145214129. The reversal of 114145214100 is 1412541411.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 267271 + ... + 547470.

It is an arithmetic number, because the mean of its divisors is an integer number (4596774364).

Almost surely, 2^114145214100 is an apocalyptic number.

114145214100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114145214100 is an abundant number, since it is smaller than the sum of its proper divisors (216822540108).

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

114145214100 is a wasteful number, since it uses less digits than its factorization.

114145214100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815225 (or 815218 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

Adding to 114145214100 its reverse (1412541411), we get a palindrome (115557755511).

The spelling of 114145214100 in words is "one hundred fourteen billion, one hundred forty-five million, two hundred fourteen thousand, one hundred".