101303121331201 has 8 divisors (see below), whose sum is σ = 101760384789504. Its totient is φ = 100845884564160.

The previous prime is 101303121331147. The next prime is 101303121331207. The reversal of 101303121331201 is 102133121303101.

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 101303121331201 - 2¹⁵ = 101303121298433 is a prime.

It is a super-2 number, since 2×101303121331201² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101303121331207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 954681 + ... + 14265961.

It is an arithmetic number, because the mean of its divisors is an integer number (12720048098688).

Almost surely, 2^{101303121331201} is an apocalyptic number.

It is an amenable number.

101303121331201 is a deficient number, since it is larger than the sum of its proper divisors (457263458303).

101303121331201 is a wasteful number, since it uses less digits than its factorization.

101303121331201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13345631.

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 101303121331201 its reverse (102133121303101), we get a palindrome (203436242634302).

The spelling of 101303121331201 in words is "one hundred one trillion, three hundred three billion, one hundred twenty-one million, three hundred thirty-one thousand, two hundred one".