101133504400 has 30 divisors (see below), whose sum is σ = 242973245282. Its totient is φ = 40453401600.

The previous prime is 101133504341. The next prime is 101133504419. The reversal of 101133504400 is 4405331101.

It can be written as a sum of positive squares in 3 ways, for example, as 4976455936 + 96157048464 = 70544^2 + 310092^2 .

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, 126416481 + ... + 126417280.

Almost surely, 2^101133504400 is an apocalyptic number.

101133504400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101133504400 is an abundant number, since it is smaller than the sum of its proper divisors (141839740882).

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

101133504400 is a wasteful number, since it uses less digits than its factorization.

101133504400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252833779 (or 252833768 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 101133504400 its reverse (4405331101), we get a palindrome (105538835501).

The spelling of 101133504400 in words is "one hundred one billion, one hundred thirty-three million, five hundred four thousand, four hundred".