101003300101 has 8 divisors (see below), whose sum is σ = 113739787008. Its totient is φ = 88859208000.

The previous prime is 101003300089. The next prime is 101003300147.

101003300101 is nontrivially palindromic in base 10.

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 101003300101 - 2¹⁹ = 101002775813 is a prime.

It is a super-2 number, since 2×101003300101² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101003300191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 148098340 + ... + 148099021.

It is an arithmetic number, because the mean of its divisors is an integer number (14217473376).

Almost surely, 2^101003300101 is an apocalyptic number.

101003300101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101003300101 is a deficient number, since it is larger than the sum of its proper divisors (12736486907).

101003300101 is a wasteful number, since it uses less digits than its factorization.

101003300101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296197403.

The product of its (nonzero) digits is 9, while the sum is 10.

It can be divided in two parts, 101003 and 300101, that added together give a palindrome (401104).

The spelling of 101003300101 in words is "one hundred one billion, three million, three hundred thousand, one hundred one".