114201114100 has 36 divisors (see below), whose sum is σ = 250270067628. Its totient is φ = 45228160000.

The previous prime is 114201114061. The next prime is 114201114101. The reversal of 114201114100 is 1411102411.

It can be written as a sum of positive squares in 6 ways, for example, as 13937691364 + 100263422736 = 118058^2 + 316644^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114201114101) 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, 5643421 + ... + 5663620.

It is an arithmetic number, because the mean of its divisors is an integer number (6951946323).

Almost surely, 2^114201114100 is an apocalyptic number.

114201114100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114201114100 is an abundant number, since it is smaller than the sum of its proper divisors (136068953528).

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

114201114100 is a wasteful number, since it uses less digits than its factorization.

114201114100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11307156 (or 11307149 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 114201114100 its reverse (1411102411), we get a palindrome (115612216511).

The spelling of 114201114100 in words is "one hundred fourteen billion, two hundred one million, one hundred fourteen thousand, one hundred".