1005556011101 has 2 divisors, whose sum is σ = 1005556011102. Its totient is φ = 1005556011100.

The previous prime is 1005556011071. The next prime is 1005556011121. The reversal of 1005556011101 is 1011106555001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 907665871225 + 97890139876 = 952715^2 + 312874^2 .

It is a cyclic number.

It is not a de Polignac number, because 1005556011101 - 2¹⁰ = 1005556010077 is a prime.

It is a super-2 number, since 2×1005556011101² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1005556011121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502778005550 + 502778005551.

It is an arithmetic number, because the mean of its divisors is an integer number (502778005551).

Almost surely, 2^{1005556011101} is an apocalyptic number.

It is an amenable number.

1005556011101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005556011101 is an equidigital number, since it uses as much as digits as its factorization.

1005556011101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 750, while the sum is 26.

The spelling of 1005556011101 in words is "one trillion, five billion, five hundred fifty-six million, eleven thousand, one hundred one".