101313121301221 has 8 divisors (see below), whose sum is σ = 101757890775744. Its totient is φ = 100868678268000.

The previous prime is 101313121301159. The next prime is 101313121301257. The reversal of 101313121301221 is 122103121313101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101313121301221 - 2¹³ = 101313121293029 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101313121301192 and 101313121301201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101313121301621) 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 7 ways as a sum of consecutive naturals, for example, 80988241 + ... + 82229686.

It is an arithmetic number, because the mean of its divisors is an integer number (12719736346968).

Almost surely, 2^{101313121301221} is an apocalyptic number.

It is an amenable number.

101313121301221 is a deficient number, since it is larger than the sum of its proper divisors (444769474523).

101313121301221 is a wasteful number, since it uses less digits than its factorization.

101313121301221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163220651.

The product of its (nonzero) digits is 216, while the sum is 22.

Adding to 101313121301221 its reverse (122103121313101), we get a palindrome (223416242614322).

The spelling of 101313121301221 in words is "one hundred one trillion, three hundred thirteen billion, one hundred twenty-one million, three hundred one thousand, two hundred twenty-one".