100111112010223 has 2 divisors, whose sum is σ = 100111112010224. Its totient is φ = 100111112010222.

The previous prime is 100111112010197. The next prime is 100111112010227. The reversal of 100111112010223 is 322010211111001.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 100111112010223 - 2¹⁷ = 100111111879151 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100111112010197 and 100111112010206.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100111112010227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055556005111 + 50055556005112.

It is an arithmetic number, because the mean of its divisors is an integer number (50055556005112).

Almost surely, 2^{100111112010223} is an apocalyptic number.

100111112010223 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111112010223 is an equidigital number, since it uses as much as digits as its factorization.

100111112010223 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 100111112010223 its reverse (322010211111001), we get a palindrome (422121323121224).

The spelling of 100111112010223 in words is "one hundred trillion, one hundred eleven billion, one hundred twelve million, ten thousand, two hundred twenty-three".