114024102100 has 36 divisors (see below), whose sum is σ = 251626082400. Its totient is φ = 44836593760.

The previous prime is 114024102067. The next prime is 114024102107. The reversal of 114024102100 is 1201420411.

It is a happy number.

It is a super-2 number, since 2×114024102100² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114024102107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9657160 + ... + 9668959.

It is an arithmetic number, because the mean of its divisors is an integer number (6989613400).

Almost surely, 2^114024102100 is an apocalyptic number.

114024102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114024102100 is an abundant number, since it is smaller than the sum of its proper divisors (137601980300).

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

114024102100 is a wasteful number, since it uses less digits than its factorization.

114024102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19326192 (or 19326185 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 114024102100 its reverse (1201420411), we get a palindrome (115225522511).

The spelling of 114024102100 in words is "one hundred fourteen billion, twenty-four million, one hundred two thousand, one hundred".