10010002100201 has 8 divisors (see below), whose sum is σ = 10669958814600. Its totient is φ = 9357949059328.

The previous prime is 10010002100171. The next prime is 10010002100213. The reversal of 10010002100201 is 10200120001001.

It can be written as a sum of positive squares in 4 ways, for example, as 24724417600 + 9985277682601 = 157240^2 + 3159949^2 .

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 10010002100201 - 2¹⁰ = 10010002099177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10010002100221) 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 7 ways as a sum of consecutive naturals, for example, 1975915766 + ... + 1975920831.

It is an arithmetic number, because the mean of its divisors is an integer number (1333744851825).

Almost surely, 2^{10010002100201} is an apocalyptic number.

It is an amenable number.

10010002100201 is a deficient number, since it is larger than the sum of its proper divisors (659956714399).

10010002100201 is a wasteful number, since it uses less digits than its factorization.

10010002100201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3951836763.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10010002100201 its reverse (10200120001001), we get a palindrome (20210122101202).

The spelling of 10010002100201 in words is "ten trillion, ten billion, two million, one hundred thousand, two hundred one".