100022231133 has 32 divisors (see below), whose sum is σ = 165594844800. Its totient is φ = 59141001600.

The previous prime is 100022231087. The next prime is 100022231167. The reversal of 100022231133 is 331132220001.

100022231133 is a `hidden beast` number, since 100 + 0 + 222 + 311 + 33 = 666.

It is not a de Polignac number, because 100022231133 - 2¹⁴ = 100022214749 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100022231233) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4094838 + ... + 4119191.

It is an arithmetic number, because the mean of its divisors is an integer number (5174838900).

Almost surely, 2^100022231133 is an apocalyptic number.

It is an amenable number.

100022231133 is a deficient number, since it is larger than the sum of its proper divisors (65572613667).

100022231133 is a wasteful number, since it uses less digits than its factorization.

100022231133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8214090 (or 8214084 counting only the distinct ones).

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

Adding to 100022231133 its reverse (331132220001), we get a palindrome (431154451134).

The spelling of 100022231133 in words is "one hundred billion, twenty-two million, two hundred thirty-one thousand, one hundred thirty-three".