2011121021149 has 2 divisors, whose sum is σ = 2011121021150. Its totient is φ = 2011121021148.

The previous prime is 2011121021113. The next prime is 2011121021213. The reversal of 2011121021149 is 9411201211102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1237500504900 + 773620516249 = 1112430^2 + 879557^2 .

It is a cyclic number.

It is not a de Polignac number, because 2011121021149 - 2¹⁵ = 2011120988381 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2011121021849) 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, 1005560510574 + 1005560510575.

It is an arithmetic number, because the mean of its divisors is an integer number (1005560510575).

Almost surely, 2^{2011121021149} is an apocalyptic number.

It is an amenable number.

2011121021149 is a deficient number, since it is larger than the sum of its proper divisors (1).

2011121021149 is an equidigital number, since it uses as much as digits as its factorization.

2011121021149 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 25.

The spelling of 2011121021149 in words is "two trillion, eleven billion, one hundred twenty-one million, twenty-one thousand, one hundred forty-nine".