10114441200 has 90 divisors (see below), whose sum is σ = 35099933024. Its totient is φ = 2697183360.

The previous prime is 10114441111. The next prime is 10114441201. The reversal of 10114441200 is 214441101.

10114441200 is a `hidden beast` number, since 10 + 1 + 14 + 441 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10114441201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1401184 + ... + 1408383.

Almost surely, 2^10114441200 is an apocalyptic number.

10114441200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10114441200 is an abundant number, since it is smaller than the sum of its proper divisors (24985491824).

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

10114441200 is a wasteful number, since it uses less digits than its factorization.

10114441200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2809591 (or 2809577 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10114441200 its reverse (214441101), we get a palindrome (10328882301).

Subtracting from 10114441200 its reverse (214441101), we obtain a palindrome (9900000099).

The spelling of 10114441200 in words is "ten billion, one hundred fourteen million, four hundred forty-one thousand, two hundred".