221211002011121 has 2 divisors, whose sum is σ = 221211002011122. Its totient is φ = 221211002011120.

The previous prime is 221211002011061. The next prime is 221211002011133. The reversal of 221211002011121 is 121110200112122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 186507121011121 + 34703881000000 = 13656761^2 + 5891000^2 .

It is a cyclic number.

It is not a de Polignac number, because 221211002011121 - 2¹⁴ = 221211001994737 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 221211002011121.

It is not a weakly prime, because it can be changed into another prime (221211002011141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110605501005560 + 110605501005561.

It is an arithmetic number, because the mean of its divisors is an integer number (110605501005561).

Almost surely, 2^{221211002011121} is an apocalyptic number.

It is an amenable number.

221211002011121 is a deficient number, since it is larger than the sum of its proper divisors (1).

221211002011121 is an equidigital number, since it uses as much as digits as its factorization.

221211002011121 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 17.

Adding to 221211002011121 its reverse (121110200112122), we get a palindrome (342321202123243).

The spelling of 221211002011121 in words is "two hundred twenty-one trillion, two hundred eleven billion, two million, eleven thousand, one hundred twenty-one".