101304403101 has 48 divisors (see below), whose sum is σ = 164937596928. Its totient is φ = 59359456800.

The previous prime is 101304403099. The next prime is 101304403111.

101304403101 is a `hidden beast` number, since 10 + 1 + 304 + 40 + 310 + 1 = 666.

101304403101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 101304403101 - 2¹ = 101304403099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101304403111) 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 47 ways as a sum of consecutive naturals, for example, 3320820 + ... + 3351186.

It is an arithmetic number, because the mean of its divisors is an integer number (3436199936).

Almost surely, 2^101304403101 is an apocalyptic number.

101304403101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101304403101 is a deficient number, since it is larger than the sum of its proper divisors (63633193827).

101304403101 is a wasteful number, since it uses less digits than its factorization.

101304403101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31502 (or 31499 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

It can be divided in two parts, 101304 and 403101, that added together give a palindrome (504405).

The spelling of 101304403101 in words is "one hundred one billion, three hundred four million, four hundred three thousand, one hundred one".