100201021000113 has 16 divisors (see below), whose sum is σ = 154320289027776. Its totient is φ = 57155662602240.

The previous prime is 100201021000043. The next prime is 100201021000141. The reversal of 100201021000113 is 311000120102001.

It is not a de Polignac number, because 100201021000113 - 2⁹ = 100201020999601 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100201021000153) 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, 89305722256 + ... + 89305723377.

It is an arithmetic number, because the mean of its divisors is an integer number (9645018064236).

Almost surely, 2^{100201021000113} is an apocalyptic number.

It is an amenable number.

100201021000113 is a deficient number, since it is larger than the sum of its proper divisors (54119268027663).

100201021000113 is a wasteful number, since it uses less digits than its factorization.

100201021000113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178611445664.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 100201021000113 its reverse (311000120102001), we get a palindrome (411201141102114).

The spelling of 100201021000113 in words is "one hundred trillion, two hundred one billion, twenty-one million, one hundred thirteen", and thus it is an aban number.