10141121200 has 120 divisors (see below), whose sum is σ = 27897322592. Its totient is φ = 3470376960.

The previous prime is 10141121191. The next prime is 10141121201. The reversal of 10141121200 is 212114101.

10141121200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10141121201) 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, 1612462 + ... + 1618738.

Almost surely, 2^10141121200 is an apocalyptic number.

10141121200 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 10141121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13948661296).

10141121200 is an abundant number, since it is smaller than the sum of its proper divisors (17756201392).

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

10141121200 is a wasteful number, since it uses less digits than its factorization.

10141121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6879 (or 6868 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10141121200 its reverse (212114101), we get a palindrome (10353235301).

The spelling of 10141121200 in words is "ten billion, one hundred forty-one million, one hundred twenty-one thousand, two hundred".