2011121120221 has 2 divisors, whose sum is σ = 2011121120222. Its totient is φ = 2011121120220.

The previous prime is 2011121120201. The next prime is 2011121120231. The reversal of 2011121120221 is 1220211211102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1343313452196 + 667807668025 = 1159014^2 + 817195^2 .

It is a cyclic number.

It is not a de Polignac number, because 2011121120221 - 2¹⁷ = 2011120989149 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2011121120195 and 2011121120204.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2011121120201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1005560560110 + 1005560560111.

It is an arithmetic number, because the mean of its divisors is an integer number (1005560560111).

Almost surely, 2^{2011121120221} is an apocalyptic number.

It is an amenable number.

2011121120221 is a deficient number, since it is larger than the sum of its proper divisors (1).

2011121120221 is an equidigital number, since it uses as much as digits as its factorization.

2011121120221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 2011121120221 its reverse (1220211211102), we get a palindrome (3231332331323).

The spelling of 2011121120221 in words is "two trillion, eleven billion, one hundred twenty-one million, one hundred twenty thousand, two hundred twenty-one".