1011167166103 has 16 divisors (see below), whose sum is σ = 1027458432000. Its totient is φ = 994981630240.

The previous prime is 1011167166101. The next prime is 1011167166167. The reversal of 1011167166103 is 3016617611101.

It is a cyclic number.

It is not a de Polignac number, because 1011167166103 - 2¹ = 1011167166101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011167166101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21404433 + ... + 21451621.

It is an arithmetic number, because the mean of its divisors is an integer number (64216152000).

Almost surely, 2^{1011167166103} is an apocalyptic number.

1011167166103 is a deficient number, since it is larger than the sum of its proper divisors (16291265897).

1011167166103 is an equidigital number, since it uses as much as digits as its factorization.

1011167166103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48302.

The product of its (nonzero) digits is 4536, while the sum is 34.

The spelling of 1011167166103 in words is "one trillion, eleven billion, one hundred sixty-seven million, one hundred sixty-six thousand, one hundred three".