10151122400 has 72 divisors (see below), whose sum is σ = 26085752280. Its totient is φ = 3846735360.

The previous prime is 10151122361. The next prime is 10151122403. The reversal of 10151122400 is 422115101.

10151122400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10151122403) 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, 318719 + ... + 349118.

It is an arithmetic number, because the mean of its divisors is an integer number (362302115).

Almost surely, 2^10151122400 is an apocalyptic number.

10151122400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10151122400 is an abundant number, since it is smaller than the sum of its proper divisors (15934629880).

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

10151122400 is a wasteful number, since it uses less digits than its factorization.

10151122400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667876 (or 667863 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 17.

Adding to 10151122400 its reverse (422115101), we get a palindrome (10573237501).

The spelling of 10151122400 in words is "ten billion, one hundred fifty-one million, one hundred twenty-two thousand, four hundred".