10121440200 has 48 divisors (see below), whose sum is σ = 31376466480. Its totient is φ = 2699050560.

The previous prime is 10121440159. The next prime is 10121440207. The reversal of 10121440200 is 204412101.

10121440200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10121440200.

It is not an unprimeable number, because it can be changed into a prime (10121440207) 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 11 ways as a sum of consecutive naturals, for example, 8433934 + ... + 8435133.

It is an arithmetic number, because the mean of its divisors is an integer number (653676385).

Almost surely, 2^10121440200 is an apocalyptic number.

10121440200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10121440200 is an abundant number, since it is smaller than the sum of its proper divisors (21255026280).

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

10121440200 is a wasteful number, since it uses less digits than its factorization.

10121440200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16869086 (or 16869077 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10121440200 its reverse (204412101), we get a palindrome (10325852301).

The spelling of 10121440200 in words is "ten billion, one hundred twenty-one million, four hundred forty thousand, two hundred".