100100122223 has 16 divisors (see below), whose sum is σ = 101954487456. Its totient is φ = 98259517440.

The previous prime is 100100122201. The next prime is 100100122229. The reversal of 100100122223 is 322221001001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100100122223 - 2¹⁶ = 100100056687 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100100122198 and 100100122207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100122229) 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 15 ways as a sum of consecutive naturals, for example, 41516888 + ... + 41519298.

It is an arithmetic number, because the mean of its divisors is an integer number (6372155466).

Almost surely, 2^100100122223 is an apocalyptic number.

100100122223 is a deficient number, since it is larger than the sum of its proper divisors (1854365233).

100100122223 is a wasteful number, since it uses less digits than its factorization.

100100122223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4954.

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 100100122223 its reverse (322221001001), we get a palindrome (422321123224).

The spelling of 100100122223 in words is "one hundred billion, one hundred million, one hundred twenty-two thousand, two hundred twenty-three".