2011111120901 has 2 divisors, whose sum is σ = 2011111120902. Its totient is φ = 2011111120900.

The previous prime is 2011111120871. The next prime is 2011111120913. The reversal of 2011111120901 is 1090211111102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1700087407876 + 311023713025 = 1303874^2 + 557695^2 .

It is a cyclic number.

It is not a de Polignac number, because 2011111120901 - 2¹⁰ = 2011111119877 is a prime.

It is a super-2 number, since 2×2011111120901² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2011111120201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1005555560450 + 1005555560451.

It is an arithmetic number, because the mean of its divisors is an integer number (1005555560451).

Almost surely, 2^{2011111120901} is an apocalyptic number.

It is an amenable number.

2011111120901 is a deficient number, since it is larger than the sum of its proper divisors (1).

2011111120901 is an equidigital number, since it uses as much as digits as its factorization.

2011111120901 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 20.

The spelling of 2011111120901 in words is "two trillion, eleven billion, one hundred eleven million, one hundred twenty thousand, nine hundred one".