10111024400 has 30 divisors (see below), whose sum is σ = 24291737082. Its totient is φ = 4044409600.

The previous prime is 10111024381. The next prime is 10111024421. The reversal of 10111024400 is 442011101.

10111024400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 40500496 + 10070523904 = 6364^2 + 100352^2 .

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 5 ways as a sum of consecutive naturals, for example, 12638381 + ... + 12639180.

Almost surely, 2^10111024400 is an apocalyptic number.

10111024400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10111024400 is an abundant number, since it is smaller than the sum of its proper divisors (14180712682).

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

10111024400 is a wasteful number, since it uses less digits than its factorization.

10111024400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25277579 (or 25277568 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10111024400 its reverse (442011101), we get a palindrome (10553035501).

The spelling of 10111024400 in words is "ten billion, one hundred eleven million, twenty-four thousand, four hundred".