21200000101201 has 8 divisors (see below), whose sum is σ = 21450995005608. Its totient is φ = 20949810960000.

The previous prime is 21200000101141. The next prime is 21200000101213. The reversal of 21200000101201 is 10210100000212.

It can be written as a sum of positive squares in 4 ways, for example, as 3531302438976 + 17668697662225 = 1879176^2 + 4203415^2 .

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 21200000101201 - 2⁷ = 21200000101073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21200000101271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 201387870 + ... + 201493111.

It is an arithmetic number, because the mean of its divisors is an integer number (2681374375701).

Almost surely, 2^{21200000101201} is an apocalyptic number.

It is an amenable number.

21200000101201 is a deficient number, since it is larger than the sum of its proper divisors (250994904407).

21200000101201 is a wasteful number, since it uses less digits than its factorization.

21200000101201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402881603.

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

Adding to 21200000101201 its reverse (10210100000212), we get a palindrome (31410100101413).

The spelling of 21200000101201 in words is "twenty-one trillion, two hundred billion, one hundred one thousand, two hundred one".