101122311303 has 64 divisors (see below), whose sum is σ = 164999116800. Its totient is φ = 60831388800.

The previous prime is 101122311281. The next prime is 101122311319. The reversal of 101122311303 is 303113221101.

It is not a de Polignac number, because 101122311303 - 2²² = 101118116999 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101122312303) 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 63 ways as a sum of consecutive naturals, for example, 2782576 + ... + 2818682.

It is an arithmetic number, because the mean of its divisors is an integer number (2578111200).

Almost surely, 2^101122311303 is an apocalyptic number.

101122311303 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

101122311303 is a deficient number, since it is larger than the sum of its proper divisors (63876805497).

101122311303 is a wasteful number, since it uses less digits than its factorization.

101122311303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36309 (or 36303 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 101122311303 its reverse (303113221101), we get a palindrome (404235532404).

The spelling of 101122311303 in words is "one hundred one billion, one hundred twenty-two million, three hundred eleven thousand, three hundred three".