10199337120 has 1152 divisors, whose sum is σ = 45174205440. Its totient is φ = 2043740160.

The previous prime is 10199337101. The next prime is 10199337163. The reversal of 10199337120 is 2173399101.

It is a happy number.

10199337120 is a `hidden beast` number, since 10 + 199 + 337 + 120 = 666.

10199337120 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 (36).

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 248764300 + ... + 248764340.

It is an arithmetic number, because the mean of its divisors is an integer number (39213720).

Almost surely, 2^10199337120 is an apocalyptic number.

10199337120 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 10199337120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22587102720).

10199337120 is an abundant number, since it is smaller than the sum of its proper divisors (34974868320).

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

10199337120 is a wasteful number, since it uses less digits than its factorization.

10199337120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 36.

The spelling of 10199337120 in words is "ten billion, one hundred ninety-nine million, three hundred thirty-seven thousand, one hundred twenty".