100001020021201 has 8 divisors (see below), whose sum is σ = 107833449628520. Its totient is φ = 92188596621312.

The previous prime is 100001020021193. The next prime is 100001020021219. The reversal of 100001020021201 is 102120020100001.

It can be written as a sum of positive squares in 4 ways, for example, as 24178373956801 + 75822646064400 = 4917151^2 + 8707620^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100001020021201 - 2³ = 100001020021193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100001020021241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5001541470 + ... + 5001561463.

It is an arithmetic number, because the mean of its divisors is an integer number (13479181203565).

Almost surely, 2^{100001020021201} is an apocalyptic number.

It is an amenable number.

100001020021201 is a deficient number, since it is larger than the sum of its proper divisors (7832429607319).

100001020021201 is a wasteful number, since it uses less digits than its factorization.

100001020021201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10003103715.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100001020021201 its reverse (102120020100001), we get a palindrome (202121040121202).

The spelling of 100001020021201 in words is "one hundred trillion, one billion, twenty million, twenty-one thousand, two hundred one".