101003122321103 has 8 divisors (see below), whose sum is σ = 103352174382336. Its totient is φ = 98654076725400.

The previous prime is 101003122321099. The next prime is 101003122321109. The reversal of 101003122321103 is 301123221300101.

It is a happy number.

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 101003122321103 - 2² = 101003122321099 is a prime.

It is a super-3 number, since 3×101003122321103³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101003122321109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46356788 + ... + 48486678.

It is an arithmetic number, because the mean of its divisors is an integer number (12919021797792).

Almost surely, 2^{101003122321103} is an apocalyptic number.

101003122321103 is a deficient number, since it is larger than the sum of its proper divisors (2349052061233).

101003122321103 is a wasteful number, since it uses less digits than its factorization.

101003122321103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3232765.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 101003122321103 its reverse (301123221300101), we get a palindrome (402126343621204).

The spelling of 101003122321103 in words is "one hundred one trillion, three billion, one hundred twenty-two million, three hundred twenty-one thousand, one hundred three".