101111222122311 has 8 divisors (see below), whose sum is σ = 134817217160560. Its totient is φ = 67406354249472.

The previous prime is 101111222122303. The next prime is 101111222122319. The reversal of 101111222122311 is 113221222111101.

It is an interprime number because it is at equal distance from previous prime (101111222122303) and next prime (101111222122319).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 101111222122311 - 2³ = 101111222122303 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101111222122319) 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 in 7 ways as a sum of consecutive naturals, for example, 281582020 + ... + 281940873.

It is an arithmetic number, because the mean of its divisors is an integer number (16852152145070).

Almost surely, 2^{101111222122311} is an apocalyptic number.

101111222122311 is a deficient number, since it is larger than the sum of its proper divisors (33705995038249).

101111222122311 is an equidigital number, since it uses as much as digits as its factorization.

101111222122311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563582705.

The product of its (nonzero) digits is 96, while the sum is 21.

Adding to 101111222122311 its reverse (113221222111101), we get a palindrome (214332444233412).

The spelling of 101111222122311 in words is "one hundred one trillion, one hundred eleven billion, two hundred twenty-two million, one hundred twenty-two thousand, three hundred eleven".