201122221021101 has 12 divisors (see below), whose sum is σ = 298361493046812. Its totient is φ = 130457656878336.

The previous prime is 201122221021069. The next prime is 201122221021147. The reversal of 201122221021101 is 101120122221102.

201122221021101 is a `hidden beast` number, since 20 + 1 + 1 + 222 + 210 + 211 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 110589831468900 + 90532389552201 = 10516170^2 + 9514851^2 .

It is not a de Polignac number, because 201122221021101 - 2⁵ = 201122221021069 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201122221021181) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 301985316516 + ... + 301985317181.

It is an arithmetic number, because the mean of its divisors is an integer number (24863457753901).

Almost surely, 2^{201122221021101} is an apocalyptic number.

It is an amenable number.

201122221021101 is a deficient number, since it is larger than the sum of its proper divisors (97239272025711).

201122221021101 is a wasteful number, since it uses less digits than its factorization.

201122221021101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603970633740 (or 603970633737 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 201122221021101 its reverse (101120122221102), we get a palindrome (302242343242203).

The spelling of 201122221021101 in words is "two hundred one trillion, one hundred twenty-two billion, two hundred twenty-one million, twenty-one thousand, one hundred one".