1011167166101 has 2 divisors, whose sum is σ = 1011167166102. Its totient is φ = 1011167166100.

The previous prime is 1011167166073. The next prime is 1011167166167. The reversal of 1011167166101 is 1016617611101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 987827271025 + 23339895076 = 993895^2 + 152774^2 .

It is a cyclic number.

It is not a de Polignac number, because 1011167166101 - 2²⁶ = 1011100057237 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1011167166001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505583583050 + 505583583051.

It is an arithmetic number, because the mean of its divisors is an integer number (505583583051).

Almost surely, 2^{1011167166101} is an apocalyptic number.

It is an amenable number.

1011167166101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011167166101 is an equidigital number, since it uses as much as digits as its factorization.

1011167166101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1512, while the sum is 32.

The spelling of 1011167166101 in words is "one trillion, eleven billion, one hundred sixty-seven million, one hundred sixty-six thousand, one hundred one".