101122311318 has 64 divisors (see below), whose sum is σ = 245057591808. Its totient is φ = 27156487680.

The previous prime is 101122311281. The next prime is 101122311319. The reversal of 101122311318 is 813113221101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101122311319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 446953 + ... + 634043.

It is an arithmetic number, because the mean of its divisors is an integer number (3829024872).

Almost surely, 2^101122311318 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101122311318, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122528795904).

101122311318 is an abundant number, since it is smaller than the sum of its proper divisors (143935280490).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101122311318 is a wasteful number, since it uses less digits than its factorization.

101122311318 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187877.

The product of its (nonzero) digits is 288, while the sum is 24.

Adding to 101122311318 its reverse (813113221101), we get a palindrome (914235532419).

The spelling of 101122311318 in words is "one hundred one billion, one hundred twenty-two million, three hundred eleven thousand, three hundred eighteen".