1011167166001 has 2 divisors, whose sum is σ = 1011167166002. Its totient is φ = 1011167166000.

The previous prime is 1011167165947. The next prime is 1011167166011. The reversal of 1011167166001 is 1006617611101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1009872245776 + 1294920225 = 1004924^2 + 35985^2 .

It is a cyclic number.

It is not a de Polignac number, because 1011167166001 - 2¹⁷ = 1011167034929 is a prime.

It is not a weakly prime, because it can be changed into another prime (1011167166011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505583583000 + 505583583001.

It is an arithmetic number, because the mean of its divisors is an integer number (505583583001).

Almost surely, 2^{1011167166001} is an apocalyptic number.

It is an amenable number.

1011167166001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011167166001 is an equidigital number, since it uses as much as digits as its factorization.

1011167166001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1512, while the sum is 31.

The spelling of 1011167166001 in words is "one trillion, eleven billion, one hundred sixty-seven million, one hundred sixty-six thousand, one".