201121100221133 has 2 divisors, whose sum is σ = 201121100221134. Its totient is φ = 201121100221132.

The previous prime is 201121100221121. The next prime is 201121100221231. The reversal of 201121100221133 is 331122001121102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 180577344540649 + 20543755680484 = 13437907^2 + 4532522^2 .

It is a cyclic number.

It is not a de Polignac number, because 201121100221133 - 2¹⁴ = 201121100204749 is a prime.

It is a super-2 number, since 2×201121100221133² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (201121100221103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100560550110566 + 100560550110567.

It is an arithmetic number, because the mean of its divisors is an integer number (100560550110567).

Almost surely, 2^{201121100221133} is an apocalyptic number.

It is an amenable number.

201121100221133 is a deficient number, since it is larger than the sum of its proper divisors (1).

201121100221133 is an equidigital number, since it uses as much as digits as its factorization.

201121100221133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 201121100221133 its reverse (331122001121102), we get a palindrome (532243101342235).

The spelling of 201121100221133 in words is "two hundred one trillion, one hundred twenty-one billion, one hundred million, two hundred twenty-one thousand, one hundred thirty-three".