114042100020 has 96 divisors (see below), whose sum is σ = 336631873536. Its totient is φ = 28804022400.

The previous prime is 114042100019. The next prime is 114042100021. The reversal of 114042100020 is 20001240411.

It is an interprime number because it is at equal distance from previous prime (114042100019) and next prime (114042100021).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114042100021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 564846 + ... + 739685.

It is an arithmetic number, because the mean of its divisors is an integer number (3506582016).

Almost surely, 2^114042100020 is an apocalyptic number.

114042100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114042100020 is an abundant number, since it is smaller than the sum of its proper divisors (222589773516).

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

114042100020 is a wasteful number, since it uses less digits than its factorization.

114042100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1304621 (or 1304619 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 114042100020 its reverse (20001240411), we get a palindrome (134043340431).

The spelling of 114042100020 in words is "one hundred fourteen billion, forty-two million, one hundred thousand, twenty".