10114331400200 has 96 divisors (see below), whose sum is σ = 24909768842400. Its totient is φ = 3806117360640.

The previous prime is 10114331400167. The next prime is 10114331400209. The reversal of 10114331400200 is 200413341101.

It is a super-3 number, since 3×10114331400200³ (a number of 40 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10114331400209) 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 23 ways as a sum of consecutive naturals, for example, 7316687 + ... + 8588513.

It is an arithmetic number, because the mean of its divisors is an integer number (259476758775).

Almost surely, 2^{10114331400200} is an apocalyptic number.

10114331400200 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 10114331400200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12454884421200).

10114331400200 is an abundant number, since it is smaller than the sum of its proper divisors (14795437442200).

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

10114331400200 is a wasteful number, since it uses less digits than its factorization.

10114331400200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1274199 (or 1274190 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 10114331400200 its reverse (200413341101), we get a palindrome (10314744741301).

The spelling of 10114331400200 in words is "ten trillion, one hundred fourteen billion, three hundred thirty-one million, four hundred thousand, two hundred".