211201122220221 has 64 divisors (see below), whose sum is σ = 325553444536320. Its totient is φ = 119298503358720.

The previous prime is 211201122220219. The next prime is 211201122220267. The reversal of 211201122220221 is 122022221102112.

It is not a de Polignac number, because 211201122220221 - 2¹ = 211201122220219 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211201122220201) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3066228460 + ... + 3066297338.

It is an arithmetic number, because the mean of its divisors is an integer number (5086772570880).

Almost surely, 2^{211201122220221} is an apocalyptic number.

211201122220221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

211201122220221 is a deficient number, since it is larger than the sum of its proper divisors (114352322316099).

211201122220221 is a wasteful number, since it uses less digits than its factorization.

211201122220221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73906.

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 211201122220221 its reverse (122022221102112), we get a palindrome (333223343322333).

The spelling of 211201122220221 in words is "two hundred eleven trillion, two hundred one billion, one hundred twenty-two million, two hundred twenty thousand, two hundred twenty-one".