100133123022 has 16 divisors (see below), whose sum is σ = 222518051280. Its totient is φ = 33377707656.

The previous prime is 100133123021. The next prime is 100133123059. The reversal of 100133123022 is 220321331001.

100133123022 is a `hidden beast` number, since 100 + 1 + 331 + 230 + 2 + 2 = 666.

It is a super-2 number, since 2×100133123022² (a number of 23 digits) contains 22 as substring.

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 = 100133122986 and 100133123004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100133123021) 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 7 ways as a sum of consecutive naturals, for example, 927158493 + ... + 927158600.

It is an arithmetic number, because the mean of its divisors is an integer number (13907378205).

Almost surely, 2^100133123022 is an apocalyptic number.

100133123022 is an abundant number, since it is smaller than the sum of its proper divisors (122384928258).

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

100133123022 is a wasteful number, since it uses less digits than its factorization.

100133123022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1854317104 (or 1854317098 counting only the distinct ones).

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

Adding to 100133123022 its reverse (220321331001), we get a palindrome (320454454023).

The spelling of 100133123022 in words is "one hundred billion, one hundred thirty-three million, one hundred twenty-three thousand, twenty-two".