21201100200001 has 12 divisors (see below), whose sum is σ = 21517511493132. Its totient is φ = 20889266098176.

The previous prime is 21201100199999. The next prime is 21201100200073. The reversal of 21201100200001 is 10000200110212.

It can be written as a sum of positive squares in 6 ways, for example, as 4639651380225 + 16561448819776 = 2153985^2 + 4069576^2 .

It is not a de Polignac number, because 21201100200001 - 2¹ = 21201100199999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21201100200101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3170385 + ... + 7242481.

It is an arithmetic number, because the mean of its divisors is an integer number (1793125957761).

Almost surely, 2^{21201100200001} is an apocalyptic number.

It is an amenable number.

21201100200001 is a deficient number, since it is larger than the sum of its proper divisors (316411293131).

21201100200001 is an frugal number, since it uses more digits than its factorization.

21201100200001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4073220 (or 4073147 counting only the distinct ones).

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

Adding to 21201100200001 its reverse (10000200110212), we get a palindrome (31201300310213).

The spelling of 21201100200001 in words is "twenty-one trillion, two hundred one billion, one hundred million, two hundred thousand, one".