114110211002000 has 80 divisors (see below), whose sum is σ = 275935135477872. Its totient is φ = 45641330841600.

The previous prime is 114110211001993. The next prime is 114110211002017. The reversal of 114110211002000 is 200112011411.

114110211002000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 22162363966864 + 91947847035136 = 4707692^2 + 9588944^2 .

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

It is a super-2 number, since 2×114110211002000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31601354 + ... + 35026646.

Almost surely, 2^{114110211002000} is an apocalyptic number.

114110211002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114110211002000 is an abundant number, since it is smaller than the sum of its proper divisors (161824924475872).

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

114110211002000 is a wasteful number, since it uses less digits than its factorization.

114110211002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3441973 (or 3441957 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 114110211002000 its reverse (200112011411), we get a palindrome (114310323013411).

The spelling of 114110211002000 in words is "one hundred fourteen trillion, one hundred ten billion, two hundred eleven million, two thousand".