1011122117953 has 2 divisors, whose sum is σ = 1011122117954. Its totient is φ = 1011122117952.

The previous prime is 1011122117879. The next prime is 1011122117969. The reversal of 1011122117953 is 3597112211101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 528030395649 + 483091722304 = 726657^2 + 695048^2 .

It is a cyclic number.

It is not a de Polignac number, because 1011122117953 - 2³⁷ = 873683164481 is a prime.

It is not a weakly prime, because it can be changed into another prime (1011122118953) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505561058976 + 505561058977.

It is an arithmetic number, because the mean of its divisors is an integer number (505561058977).

Almost surely, 2^{1011122117953} is an apocalyptic number.

It is an amenable number.

1011122117953 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011122117953 is an equidigital number, since it uses as much as digits as its factorization.

1011122117953 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3780, while the sum is 34.

The spelling of 1011122117953 in words is "one trillion, eleven billion, one hundred twenty-two million, one hundred seventeen thousand, nine hundred fifty-three".