101122003313321 has 4 divisors (see below), whose sum is σ = 101127099951444. Its totient is φ = 101116906675200.

The previous prime is 101122003313299. The next prime is 101122003313327. The reversal of 101122003313321 is 123313300221101.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 4375815504025 + 96746187809296 = 2091845^2 + 9835964^2 .

It is a cyclic number.

It is not a de Polignac number, because 101122003313321 - 2²² = 101121999119017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101122003313327) 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 3 ways as a sum of consecutive naturals, for example, 2548289300 + ... + 2548328981.

It is an arithmetic number, because the mean of its divisors is an integer number (25281774987861).

Almost surely, 2^{101122003313321} is an apocalyptic number.

It is an amenable number.

101122003313321 is a deficient number, since it is larger than the sum of its proper divisors (5096638123).

101122003313321 is an equidigital number, since it uses as much as digits as its factorization.

101122003313321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5096638122.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 101122003313321 its reverse (123313300221101), we get a palindrome (224435303534422).

The spelling of 101122003313321 in words is "one hundred one trillion, one hundred twenty-two billion, three million, three hundred thirteen thousand, three hundred twenty-one".