100100011667 has 2 divisors, whose sum is σ = 100100011668. Its totient is φ = 100100011666.

The previous prime is 100100011657. The next prime is 100100011681. The reversal of 100100011667 is 766110001001.

It is a weak prime.

It is an emirp because it is prime and its reverse (766110001001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100100011667 - 2⁸ = 100100011411 is a prime.

It is a super-2 number, since 2×100100011667² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100100011657) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050005833 + 50050005834.

It is an arithmetic number, because the mean of its divisors is an integer number (50050005834).

Almost surely, 2^100100011667 is an apocalyptic number.

100100011667 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100011667 is an equidigital number, since it uses as much as digits as its factorization.

100100011667 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 252, while the sum is 23.

Adding to 100100011667 its reverse (766110001001), we get a palindrome (866210012668).

The spelling of 100100011667 in words is "one hundred billion, one hundred million, eleven thousand, six hundred sixty-seven".