101124534400 has 48 divisors (see below), whose sum is σ = 249809209290. Its totient is φ = 40449812480.

The previous prime is 101124534389. The next prime is 101124534409. The reversal of 101124534400 is 4435421101.

101124534400 is digitally balanced in base 3, 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 98701532224 + 2423002176 = 314168^2 + 49224^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (101124534409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15797509 + ... + 15803908.

Almost surely, 2^101124534400 is an apocalyptic number.

101124534400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101124534400 is an abundant number, since it is smaller than the sum of its proper divisors (148684674890).

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

101124534400 is an equidigital number, since it uses as much as digits as its factorization.

101124534400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31601441 (or 31601424 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 101124534400 its reverse (4435421101), we get a palindrome (105559955501).

The spelling of 101124534400 in words is "one hundred one billion, one hundred twenty-four million, five hundred thirty-four thousand, four hundred".