1005556011121 has 2 divisors, whose sum is σ = 1005556011122. Its totient is φ = 1005556011120.

The previous prime is 1005556011101. The next prime is 1005556011127. The reversal of 1005556011121 is 1211106555001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 559780794225 + 445775216896 = 748185^2 + 667664^2 .

It is a cyclic number.

It is not a de Polignac number, because 1005556011121 - 2³⁷ = 868117057649 is a prime.

It is a super-2 number, since 2×1005556011121² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1005556011121.

It is not a weakly prime, because it can be changed into another prime (1005556011127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502778005560 + 502778005561.

It is an arithmetic number, because the mean of its divisors is an integer number (502778005561).

Almost surely, 2^{1005556011121} is an apocalyptic number.

It is an amenable number.

1005556011121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005556011121 is an equidigital number, since it uses as much as digits as its factorization.

1005556011121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1500, while the sum is 28.

The spelling of 1005556011121 in words is "one trillion, five billion, five hundred fifty-six million, eleven thousand, one hundred twenty-one".