1101100100167 has 2 divisors, whose sum is σ = 1101100100168. Its totient is φ = 1101100100166.

The previous prime is 1101100100147. The next prime is 1101100100171. The reversal of 1101100100167 is 7610010011011.

It is a happy number.

It is a strong prime.

It is an emirp because it is prime and its reverse (7610010011011) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1101100100167 - 2³⁹ = 551344286279 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1101100100147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 550550050083 + 550550050084.

It is an arithmetic number, because the mean of its divisors is an integer number (550550050084).

Almost surely, 2^{1101100100167} is an apocalyptic number.

1101100100167 is a deficient number, since it is larger than the sum of its proper divisors (1).

1101100100167 is an equidigital number, since it uses as much as digits as its factorization.

1101100100167 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 42, while the sum is 19.

Adding to 1101100100167 its reverse (7610010011011), we get a palindrome (8711110111178).

The spelling of 1101100100167 in words is "one trillion, one hundred one billion, one hundred million, one hundred thousand, one hundred sixty-seven".