20021100100201 has 8 divisors (see below), whose sum is σ = 20349892003464. Its totient is φ = 19692326814720.

The previous prime is 20021100100151. The next prime is 20021100100223. The reversal of 20021100100201 is 10200100112002.

It can be written as a sum of positive squares in 4 ways, for example, as 9014099517801 + 11007000582400 = 3002349^2 + 3317680^2 .

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 20021100100201 - 2³⁹ = 19471344286313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20021100100231) 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, 2477746 + ... + 6795691.

It is an arithmetic number, because the mean of its divisors is an integer number (2543736500433).

Almost surely, 2^{20021100100201} is an apocalyptic number.

It is an amenable number.

20021100100201 is a deficient number, since it is larger than the sum of its proper divisors (328791903263).

20021100100201 is an equidigital number, since it uses as much as digits as its factorization.

20021100100201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9308891.

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

Adding to 20021100100201 its reverse (10200100112002), we get a palindrome (30221200212203).

The spelling of 20021100100201 in words is "twenty trillion, twenty-one billion, one hundred million, one hundred thousand, two hundred one".