1011011122249 has 2 divisors, whose sum is σ = 1011011122250. Its totient is φ = 1011011122248.

The previous prime is 1011011122193. The next prime is 1011011122307. The reversal of 1011011122249 is 9422211101101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1010266214400 + 744907849 = 1005120^2 + 27293^2 .

It is a cyclic number.

It is not a de Polignac number, because 1011011122249 - 2⁹ = 1011011121737 is a prime.

It is a super-2 number, since 2×1011011122249² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1011011123249) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505505561124 + 505505561125.

It is an arithmetic number, because the mean of its divisors is an integer number (505505561125).

Almost surely, 2^{1011011122249} is an apocalyptic number.

It is an amenable number.

1011011122249 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011011122249 is an equidigital number, since it uses as much as digits as its factorization.

1011011122249 is an evil number, because the sum of its binary digits is even.

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

The spelling of 1011011122249 in words is "one trillion, eleven billion, eleven million, one hundred twenty-two thousand, two hundred forty-nine".