114101041520 has 80 divisors (see below), whose sum is σ = 271483293600. Its totient is φ = 44581635072.

The previous prime is 114101041513. The next prime is 114101041543. The reversal of 114101041520 is 25140101411.

114101041520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 114101041492 and 114101041501.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 903206 + ... + 1021754.

It is an arithmetic number, because the mean of its divisors is an integer number (3393541170).

Almost surely, 2^114101041520 is an apocalyptic number.

114101041520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114101041520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135741646800).

114101041520 is an abundant number, since it is smaller than the sum of its proper divisors (157382252080).

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

114101041520 is a wasteful number, since it uses less digits than its factorization.

114101041520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118842 (or 118836 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 20.

Adding to 114101041520 its reverse (25140101411), we get a palindrome (139241142931).

The spelling of 114101041520 in words is "one hundred fourteen billion, one hundred one million, forty-one thousand, five hundred twenty".