2114116135500 has 48 divisors (see below), whose sum is σ = 6156306190944. Its totient is φ = 563764302400.

The previous prime is 2114116135499. The next prime is 2114116135501. The reversal of 2114116135500 is 55316114112.

It is an interprime number because it is at equal distance from previous prime (2114116135499) and next prime (2114116135501).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2114116135501) 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 15 ways as a sum of consecutive naturals, for example, 704703879 + ... + 704706878.

It is an arithmetic number, because the mean of its divisors is an integer number (128256378978).

Almost surely, 2^{2114116135500} is an apocalyptic number.

2114116135500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2114116135500 is an abundant number, since it is smaller than the sum of its proper divisors (4042190055444).

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

2114116135500 is a wasteful number, since it uses less digits than its factorization.

2114116135500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1409410779 (or 1409410767 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

The spelling of 2114116135500 in words is "two trillion, one hundred fourteen billion, one hundred sixteen million, one hundred thirty-five thousand, five hundred".