100322223021 has 24 divisors (see below), whose sum is σ = 150498611640. Its totient is φ = 64342688256.

The previous prime is 100322223017. The next prime is 100322223041. The reversal of 100322223021 is 120322223001.

100322223021 is a `hidden beast` number, since 100 + 322 + 223 + 0 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13819178025 + 86503044996 = 117555^2 + 294114^2 .

It is not a de Polignac number, because 100322223021 - 2² = 100322223017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100322222985 and 100322223003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100322223041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1662880 + ... + 1722153.

It is an arithmetic number, because the mean of its divisors is an integer number (6270775485).

Almost surely, 2^100322223021 is an apocalyptic number.

It is an amenable number.

100322223021 is a deficient number, since it is larger than the sum of its proper divisors (50176388619).

100322223021 is a wasteful number, since it uses less digits than its factorization.

100322223021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3385165 (or 3385162 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 100322223021 its reverse (120322223001), we get a palindrome (220644446022).

The spelling of 100322223021 in words is "one hundred billion, three hundred twenty-two million, two hundred twenty-three thousand, twenty-one".