101303303101 has 128 divisors (see below), whose sum is σ = 142160256000. Its totient is φ = 72144072000.

The previous prime is 101303303071. The next prime is 101303303131.

101303303101 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (101303303071) and next prime (101303303131).

It is not a de Polignac number, because 101303303101 - 2²¹ = 101301205949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101303303131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1003002951 + ... + 1003003051.

It is an arithmetic number, because the mean of its divisors is an integer number (1110627000).

Almost surely, 2^101303303101 is an apocalyptic number.

101303303101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101303303101 is a deficient number, since it is larger than the sum of its proper divisors (40856952899).

101303303101 is an frugal number, since it uses more digits than its factorization.

101303303101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 16.

It can be divided in two parts, 101303 and 303101, that added together give a palindrome (404404).

The spelling of 101303303101 in words is "one hundred one billion, three hundred three million, three hundred three thousand, one hundred one".