122131331333101 has 4 divisors (see below), whose sum is σ = 122131354494492. Its totient is φ = 122131308171712.

The previous prime is 122131331333071. The next prime is 122131331333117. The reversal of 122131331333101 is 101333133131221.

It is a happy number.

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 79626603543876 + 42504727789225 = 8923374^2 + 6519565^2 .

It is a cyclic number.

It is not a de Polignac number, because 122131331333101 - 2¹³ = 122131331324909 is a prime.

It is a super-4 number, since 4×122131331333101⁴ (a number of 57 digits) contains 4444 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 122131331333101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122131331333191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 598275 + ... + 15640351.

It is an arithmetic number, because the mean of its divisors is an integer number (30532838623623).

Almost surely, 2^{122131331333101} is an apocalyptic number.

It is an amenable number.

122131331333101 is a deficient number, since it is larger than the sum of its proper divisors (23161391).

122131331333101 is an equidigital number, since it uses as much as digits as its factorization.

122131331333101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23161390.

The product of its (nonzero) digits is 2916, while the sum is 28.

Adding to 122131331333101 its reverse (101333133131221), we get a palindrome (223464464464322).

The spelling of 122131331333101 in words is "one hundred twenty-two trillion, one hundred thirty-one billion, three hundred thirty-one million, three hundred thirty-three thousand, one hundred one".