101111222122319 has 2 divisors, whose sum is σ = 101111222122320. Its totient is φ = 101111222122318.

The previous prime is 101111222122303. The next prime is 101111222122321. The reversal of 101111222122319 is 913221222111101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 101111222122319 - 2⁴ = 101111222122303 is a prime.

It is a super-2 number, since 2×101111222122319² (a number of 29 digits) contains 22 as substring.

Together with 101111222122321, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 101111222122291 and 101111222122300.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101111221122319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555611061159 + 50555611061160.

It is an arithmetic number, because the mean of its divisors is an integer number (50555611061160).

Almost surely, 2^{101111222122319} is an apocalyptic number.

101111222122319 is a deficient number, since it is larger than the sum of its proper divisors (1).

101111222122319 is an equidigital number, since it uses as much as digits as its factorization.

101111222122319 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 864, while the sum is 29.

The spelling of 101111222122319 in words is "one hundred one trillion, one hundred eleven billion, two hundred twenty-two million, one hundred twenty-two thousand, three hundred nineteen".