221122212011211 has 32 divisors (see below), whose sum is σ = 346056731074048. Its totient is φ = 122939862635520.

The previous prime is 221122212011147. The next prime is 221122212011321. The reversal of 221122212011211 is 112110212221122.

It is not a de Polignac number, because 221122212011211 - 2⁶ = 221122212011147 is a prime.

It is a super-3 number, since 3×221122212011211³ (a number of 44 digits) contains 333 as substring.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (221122212011011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 163803936 + ... + 165148338.

It is an arithmetic number, because the mean of its divisors is an integer number (10814272846064).

Almost surely, 2^{221122212011211} is an apocalyptic number.

221122212011211 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

221122212011211 is a deficient number, since it is larger than the sum of its proper divisors (124934519062837).

221122212011211 is a wasteful number, since it uses less digits than its factorization.

221122212011211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1556131.

The product of its (nonzero) digits is 128, while the sum is 21.

Adding to 221122212011211 its reverse (112110212221122), we get a palindrome (333232424232333).

The spelling of 221122212011211 in words is "two hundred twenty-one trillion, one hundred twenty-two billion, two hundred twelve million, eleven thousand, two hundred eleven".