100201330021 has 16 divisors (see below), whose sum is σ = 108618968304. Its totient is φ = 91886505984.

The previous prime is 100201329983. The next prime is 100201330063. The reversal of 100201330021 is 120033102001.

It can be written as a sum of positive squares in 8 ways, for example, as 32685024100 + 67516305921 = 180790^2 + 259839^2 .

It is not a de Polignac number, because 100201330021 - 2¹¹ = 100201327973 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100201329983 and 100201330010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100201330081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1704901 + ... + 1762693.

It is an arithmetic number, because the mean of its divisors is an integer number (6788685519).

Almost surely, 2^100201330021 is an apocalyptic number.

It is an amenable number.

100201330021 is a deficient number, since it is larger than the sum of its proper divisors (8417638283).

100201330021 is a wasteful number, since it uses less digits than its factorization.

100201330021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58680.

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 100201330021 its reverse (120033102001), we get a palindrome (220234432022).

The spelling of 100201330021 in words is "one hundred billion, two hundred one million, three hundred thirty thousand, twenty-one".