1011105165161 has 72 divisors (see below), whose sum is σ = 1288076186880. Its totient is φ = 786685483584.

The previous prime is 1011105165143. The next prime is 1011105165167. The reversal of 1011105165161 is 1615615011101.

It is a happy number.

It is not a de Polignac number, because 1011105165161 - 2²² = 1011100970857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1011105165167) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1665741320 + ... + 1665741926.

It is an arithmetic number, because the mean of its divisors is an integer number (17889947040).

Almost surely, 2^{1011105165161} is an apocalyptic number.

It is an amenable number.

1011105165161 is a deficient number, since it is larger than the sum of its proper divisors (276971021719).

1011105165161 is an equidigital number, since it uses as much as digits as its factorization.

1011105165161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1211 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 29.

The spelling of 1011105165161 in words is "one trillion, eleven billion, one hundred five million, one hundred sixty-five thousand, one hundred sixty-one".