2011000211249 has 2 divisors, whose sum is σ = 2011000211250. Its totient is φ = 2011000211248.

The previous prime is 2011000211191. The next prime is 2011000211263. The reversal of 2011000211249 is 9421120001102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1377320529649 + 633679681600 = 1173593^2 + 796040^2 .

It is a cyclic number.

It is not a de Polignac number, because 2011000211249 - 2²⁰ = 2010999162673 is a prime.

It is a super-2 number, since 2×2011000211249² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2011000211449) 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, 1005500105624 + 1005500105625.

It is an arithmetic number, because the mean of its divisors is an integer number (1005500105625).

Almost surely, 2^{2011000211249} is an apocalyptic number.

It is an amenable number.

2011000211249 is a deficient number, since it is larger than the sum of its proper divisors (1).

2011000211249 is an equidigital number, since it uses as much as digits as its factorization.

2011000211249 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 23.

The spelling of 2011000211249 in words is "two trillion, eleven billion, two hundred eleven thousand, two hundred forty-nine".