101222817114311 has 16 divisors (see below), whose sum is σ = 105323297112000. Its totient is φ = 97164360384000.

The previous prime is 101222817114283. The next prime is 101222817114359. The reversal of 101222817114311 is 113411718222101.

It is a cyclic number.

It is not a de Polignac number, because 101222817114311 - 2⁶ = 101222817114247 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 (101222817117311) 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, 7903040 + ... + 16275861.

It is an arithmetic number, because the mean of its divisors is an integer number (6582706069500).

Almost surely, 2^{101222817114311} is an apocalyptic number.

101222817114311 is a deficient number, since it is larger than the sum of its proper divisors (4100479997689).

101222817114311 is a wasteful number, since it uses less digits than its factorization.

101222817114311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24179770.

The product of its (nonzero) digits is 5376, while the sum is 35.

The spelling of 101222817114311 in words is "one hundred one trillion, two hundred twenty-two billion, eight hundred seventeen million, one hundred fourteen thousand, three hundred eleven".