101331100103 has 16 divisors (see below), whose sum is σ = 103194404352. Its totient is φ = 99480612000.

The previous prime is 101331100033. The next prime is 101331100121. The reversal of 101331100103 is 301001133101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101331100103 - 2²⁴ = 101314322887 is a prime.

It is a super-2 number, since 2×101331100103² (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 (101331100183) 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, 30492200 + ... + 30495522.

It is an arithmetic number, because the mean of its divisors is an integer number (6449650272).

Almost surely, 2^101331100103 is an apocalyptic number.

101331100103 is a deficient number, since it is larger than the sum of its proper divisors (1863304249).

101331100103 is a wasteful number, since it uses less digits than its factorization.

101331100103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5086.

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 101331100103 its reverse (301001133101), we get a palindrome (402332233204).

The spelling of 101331100103 in words is "one hundred one billion, three hundred thirty-one million, one hundred thousand, one hundred three".