100302133122 has 48 divisors (see below), whose sum is σ = 229504635360. Its totient is φ = 31571150976.

The previous prime is 100302133097. The next prime is 100302133237. The reversal of 100302133122 is 221331203001.

100302133122 is a `hidden beast` number, since 10 + 0 + 302 + 1 + 331 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100302133095 and 100302133104.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 372663 + ... + 582650.

It is an arithmetic number, because the mean of its divisors is an integer number (4781346570).

Almost surely, 2^100302133122 is an apocalyptic number.

100302133122 is an abundant number, since it is smaller than the sum of its proper divisors (129202502238).

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

100302133122 is a wasteful number, since it uses less digits than its factorization.

100302133122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955647 (or 955644 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 100302133122 its reverse (221331203001), we get a palindrome (321633336123).

The spelling of 100302133122 in words is "one hundred billion, three hundred two million, one hundred thirty-three thousand, one hundred twenty-two".