21200022100001 has 16 divisors (see below), whose sum is σ = 21508823728128. Its totient is φ = 20893518594000.

The previous prime is 21200022099947. The next prime is 21200022100007. The reversal of 21200022100001 is 10000122000212.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 21200022100001 - 2²² = 21200017905697 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21200022100007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78336146 + ... + 78606308.

It is an arithmetic number, because the mean of its divisors is an integer number (1344301483008).

Almost surely, 2^{21200022100001} is an apocalyptic number.

It is an amenable number.

21200022100001 is a deficient number, since it is larger than the sum of its proper divisors (308801628127).

21200022100001 is a wasteful number, since it uses less digits than its factorization.

21200022100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274412.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 21200022100001 its reverse (10000122000212), we get a palindrome (31200144100213).

The spelling of 21200022100001 in words is "twenty-one trillion, two hundred billion, twenty-two million, one hundred thousand, one".