100122312313223 has 2 divisors, whose sum is σ = 100122312313224. Its totient is φ = 100122312313222.

The previous prime is 100122312313213. The next prime is 100122312313229. The reversal of 100122312313223 is 322313213221001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 100122312313223 - 2¹⁰ = 100122312312199 is a prime.

It is a super-2 number, since 2×100122312313223² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100122312313192 and 100122312313201.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100122312313229) 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 as a sum of consecutive naturals, namely, 50061156156611 + 50061156156612.

It is an arithmetic number, because the mean of its divisors is an integer number (50061156156612).

Almost surely, 2^{100122312313223} is an apocalyptic number.

100122312313223 is a deficient number, since it is larger than the sum of its proper divisors (1).

100122312313223 is an equidigital number, since it uses as much as digits as its factorization.

100122312313223 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 100122312313223 its reverse (322313213221001), we get a palindrome (422435525534224).

The spelling of 100122312313223 in words is "one hundred trillion, one hundred twenty-two billion, three hundred twelve million, three hundred thirteen thousand, two hundred twenty-three".