100013330021 has 16 divisors (see below), whose sum is σ = 111621379968. Its totient is φ = 88847270400.

The previous prime is 100013329963. The next prime is 100013330029. The reversal of 100013330021 is 120033310001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100013330021 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100013329978 and 100013330005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100013330029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 478376 + ... + 654881.

It is an arithmetic number, because the mean of its divisors is an integer number (6976336248).

Almost surely, 2^100013330021 is an apocalyptic number.

100013330021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100013330021 is a deficient number, since it is larger than the sum of its proper divisors (11608049947).

100013330021 is a wasteful number, since it uses less digits than its factorization.

100013330021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133452.

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 100013330021 its reverse (120033310001), we get a palindrome (220046640022).

It can be divided in two parts, 100013 and 330021, that added together give a palindrome (430034).

The spelling of 100013330021 in words is "one hundred billion, thirteen million, three hundred thirty thousand, twenty-one".