2011010202121 has 2 divisors, whose sum is σ = 2011010202122. Its totient is φ = 2011010202120.

The previous prime is 2011010202067. The next prime is 2011010202151. The reversal of 2011010202121 is 1212020101102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1401829952121 + 609180250000 = 1183989^2 + 780500^2 .

It is a cyclic number.

It is not a de Polignac number, because 2011010202121 - 2³⁹ = 1461254388233 is a prime.

It is not a weakly prime, because it can be changed into another prime (2011010202151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1005505101060 + 1005505101061.

It is an arithmetic number, because the mean of its divisors is an integer number (1005505101061).

Almost surely, 2^{2011010202121} is an apocalyptic number.

It is an amenable number.

2011010202121 is a deficient number, since it is larger than the sum of its proper divisors (1).

2011010202121 is an equidigital number, since it uses as much as digits as its factorization.

2011010202121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2011010202121 its reverse (1212020101102), we get a palindrome (3223030303223).

The spelling of 2011010202121 in words is "two trillion, eleven billion, ten million, two hundred two thousand, one hundred twenty-one".