101347743101 has 16 divisors (see below), whose sum is σ = 111794510016. Its totient is φ = 91108800000.

The previous prime is 101347743097. The next prime is 101347743103.

101347743101 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 101347743101 - 2² = 101347743097 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 (101347743103) 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 15 ways as a sum of consecutive naturals, for example, 844781 + ... + 957261.

It is an arithmetic number, because the mean of its divisors is an integer number (6987156876).

Almost surely, 2^101347743101 is an apocalyptic number.

101347743101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101347743101 is a deficient number, since it is larger than the sum of its proper divisors (10446766915).

101347743101 is a wasteful number, since it uses less digits than its factorization.

101347743101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113404.

The product of its (nonzero) digits is 7056, while the sum is 32.

It can be divided in two parts, 101347 and 743101, that added together give a palindrome (844448).

The spelling of 101347743101 in words is "one hundred one billion, three hundred forty-seven million, seven hundred forty-three thousand, one hundred one".