21211233322201 has 16 divisors (see below), whose sum is σ = 22863496222224. Its totient is φ = 19561920528384.

The previous prime is 21211233322183. The next prime is 21211233322243. The reversal of 21211233322201 is 10222333211212.

It can be written as a sum of positive squares in 8 ways, for example, as 96298502400 + 21114934819801 = 310320^2 + 4595099^2 .

It is not a de Polignac number, because 21211233322201 - 2⁷ = 21211233322073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21211233322501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 187399641 + ... + 187512793.

It is an arithmetic number, because the mean of its divisors is an integer number (1428968513889).

Almost surely, 2^{21211233322201} is an apocalyptic number.

It is an amenable number.

21211233322201 is a deficient number, since it is larger than the sum of its proper divisors (1652262900023).

21211233322201 is a wasteful number, since it uses less digits than its factorization.

21211233322201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126060.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 21211233322201 its reverse (10222333211212), we get a palindrome (31433566533413).

The spelling of 21211233322201 in words is "twenty-one trillion, two hundred eleven billion, two hundred thirty-three million, three hundred twenty-two thousand, two hundred one".