2011001020121 has 2 divisors, whose sum is σ = 2011001020122. Its totient is φ = 2011001020120.

The previous prime is 2011001020097. The next prime is 2011001020123. The reversal of 2011001020121 is 1210201001102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1993571739721 + 17429280400 = 1411939^2 + 132020^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2011001020121 is a prime.

Together with 2011001020123, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2011001020123) 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, 1005500510060 + 1005500510061.

It is an arithmetic number, because the mean of its divisors is an integer number (1005500510061).

Almost surely, 2^{2011001020121} is an apocalyptic number.

It is an amenable number.

2011001020121 is a deficient number, since it is larger than the sum of its proper divisors (1).

2011001020121 is an equidigital number, since it uses as much as digits as its factorization.

2011001020121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 2011001020121 its reverse (1210201001102), we get a palindrome (3221202021223).

It can be divided in two parts, 201100 and 1020121, that added together give a palindrome (1221221).

The spelling of 2011001020121 in words is "two trillion, eleven billion, one million, twenty thousand, one hundred twenty-one".