2110134414300 has 288 divisors, whose sum is σ = 6807374300160. Its totient is φ = 500272742400.

The previous prime is 2110134414293. The next prime is 2110134414331. The reversal of 2110134414300 is 34144310112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 230939332 + ... + 230948468.

It is an arithmetic number, because the mean of its divisors is an integer number (23636716320).

Almost surely, 2^{2110134414300} is an apocalyptic number.

2110134414300 is a gapful number since it is divisible by the number (20) 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 2110134414300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3403687150080).

2110134414300 is an abundant number, since it is smaller than the sum of its proper divisors (4697239885860).

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

2110134414300 is a wasteful number, since it uses less digits than its factorization.

2110134414300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10701 (or 10694 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 2110134414300 its reverse (34144310112), we get a palindrome (2144278724412).

The spelling of 2110134414300 in words is "two trillion, one hundred ten billion, one hundred thirty-four million, four hundred fourteen thousand, three hundred".