21011020011049 has 2 divisors, whose sum is σ = 21011020011050. Its totient is φ = 21011020011048.

The previous prime is 21011020010957. The next prime is 21011020011067. The reversal of 21011020011049 is 94011002011012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20768463761049 + 242556250000 = 4557243^2 + 492500^2 .

It is a cyclic number.

It is not a de Polignac number, because 21011020011049 - 2³⁷ = 20873581057577 is a prime.

It is not a weakly prime, because it can be changed into another prime (21011020041049) 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, 10505510005524 + 10505510005525.

It is an arithmetic number, because the mean of its divisors is an integer number (10505510005525).

Almost surely, 2^{21011020011049} is an apocalyptic number.

It is an amenable number.

21011020011049 is a deficient number, since it is larger than the sum of its proper divisors (1).

21011020011049 is an equidigital number, since it uses as much as digits as its factorization.

21011020011049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 22.

The spelling of 21011020011049 in words is "twenty-one trillion, eleven billion, twenty million, eleven thousand, forty-nine".