101100312301 has 16 divisors (see below), whose sum is σ = 104339877120. Its totient is φ = 97888029120.

The previous prime is 101100312259. The next prime is 101100312323. The reversal of 101100312301 is 103213001101.

It is a cyclic number.

It is not a de Polignac number, because 101100312301 - 2¹⁷ = 101100181229 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101100312361) 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 15 ways as a sum of consecutive naturals, for example, 16595266 + ... + 16601356.

It is an arithmetic number, because the mean of its divisors is an integer number (6521242320).

Almost surely, 2^101100312301 is an apocalyptic number.

It is an amenable number.

101100312301 is a deficient number, since it is larger than the sum of its proper divisors (3239564819).

101100312301 is a wasteful number, since it uses less digits than its factorization.

101100312301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8244.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 101100312301 its reverse (103213001101), we get a palindrome (204313313402).

The spelling of 101100312301 in words is "one hundred one billion, one hundred million, three hundred twelve thousand, three hundred one".