100133222321 has 32 divisors (see below), whose sum is σ = 112636562688. Its totient is φ = 88252554240.

The previous prime is 100133222311. The next prime is 100133222339. The reversal of 100133222321 is 123222331001.

It is a cyclic number.

It is not a de Polignac number, because 100133222321 - 2¹⁴ = 100133205937 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100133222293 and 100133222302.

It is not an unprimeable number, because it can be changed into a prime (100133222311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11326715 + ... + 11335551.

It is an arithmetic number, because the mean of its divisors is an integer number (3519892584).

Almost surely, 2^100133222321 is an apocalyptic number.

100133222321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100133222321 is a deficient number, since it is larger than the sum of its proper divisors (12503340367).

100133222321 is a wasteful number, since it uses less digits than its factorization.

100133222321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9161.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 100133222321 its reverse (123222331001), we get a palindrome (223355553322).

The spelling of 100133222321 in words is "one hundred billion, one hundred thirty-three million, two hundred twenty-two thousand, three hundred twenty-one".