100533322125 has 48 divisors (see below), whose sum is σ = 187940276160. Its totient is φ = 53617755600.

The previous prime is 100533322111. The next prime is 100533322129. The reversal of 100533322125 is 521223335001.

It is a happy number.

100533322125 is a `hidden beast` number, since 1 + 0 + 0 + 533 + 3 + 2 + 2 + 125 = 666.

It is not a de Polignac number, because 100533322125 - 2¹⁰ = 100533321101 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100533322129) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1624495 + ... + 1685244.

It is an arithmetic number, because the mean of its divisors is an integer number (3915422420).

Almost surely, 2^100533322125 is an apocalyptic number.

100533322125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100533322125 is a deficient number, since it is larger than the sum of its proper divisors (87406954035).

100533322125 is an frugal number, since it uses more digits than its factorization.

100533322125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3309769 (or 3309747 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 100533322125 its reverse (521223335001), we get a palindrome (621756657126).

The spelling of 100533322125 in words is "one hundred billion, five hundred thirty-three million, three hundred twenty-two thousand, one hundred twenty-five".