101320122100103 has 32 divisors (see below), whose sum is σ = 108215612444160. Its totient is φ = 94531511992320.

The previous prime is 101320122100079. The next prime is 101320122100121. The reversal of 101320122100103 is 301001221023101.

It is a cyclic number.

It is not a de Polignac number, because 101320122100103 - 2¹⁶ = 101320122034567 is a prime.

It is a super-3 number, since 3×101320122100103³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101320122100303) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7278214583 + ... + 7278228503.

It is an arithmetic number, because the mean of its divisors is an integer number (3381737888880).

Almost surely, 2^{101320122100103} is an apocalyptic number.

101320122100103 is a deficient number, since it is larger than the sum of its proper divisors (6895490344057).

101320122100103 is a wasteful number, since it uses less digits than its factorization.

101320122100103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20267.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 101320122100103 its reverse (301001221023101), we get a palindrome (402321343123204).

The spelling of 101320122100103 in words is "one hundred one trillion, three hundred twenty billion, one hundred twenty-two million, one hundred thousand, one hundred three".