114242050113100 has 144 divisors (see below), whose sum is σ = 311605943943168. Its totient is φ = 35386454856960.

The previous prime is 114242050113089. The next prime is 114242050113101. The reversal of 114242050113100 is 1311050242411.

It is a happy number.

It is a super-2 number, since 2×114242050113100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (114242050113101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 133126252 + ... + 133981651.

It is an arithmetic number, because the mean of its divisors is an integer number (2163930166272).

Almost surely, 2^{114242050113100} is an apocalyptic number.

114242050113100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114242050113100 is an abundant number, since it is smaller than the sum of its proper divisors (197363893830068).

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

114242050113100 is a wasteful number, since it uses less digits than its factorization.

114242050113100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267107984 (or 267107977 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The spelling of 114242050113100 in words is "one hundred fourteen trillion, two hundred forty-two billion, fifty million, one hundred thirteen thousand, one hundred".