103313210100101 has 8 divisors (see below), whose sum is σ = 103485851311104. Its totient is φ = 103140576910800.

The previous prime is 103313210100041. The next prime is 103313210100157. The reversal of 103313210100101 is 101001012313301.

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 103313210100101 - 2¹⁴ = 103313210083717 is a prime.

It is a super-2 number, since 2×103313210100101² (a number of 29 digits) contains 22 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 103313210100101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103313210109101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24057236 + ... + 28024578.

It is an arithmetic number, because the mean of its divisors is an integer number (12935731413888).

Almost surely, 2^{103313210100101} is an apocalyptic number.

It is an amenable number.

103313210100101 is a deficient number, since it is larger than the sum of its proper divisors (172641211003).

103313210100101 is an equidigital number, since it uses as much as digits as its factorization.

103313210100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4010851.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 103313210100101 its reverse (101001012313301), we get a palindrome (204314222413402).

The spelling of 103313210100101 in words is "one hundred three trillion, three hundred thirteen billion, two hundred ten million, one hundred thousand, one hundred one".