100111101001 has 2 divisors, whose sum is σ = 100111101002. Its totient is φ = 100111101000.

The previous prime is 100111100953. The next prime is 100111101031. The reversal of 100111101001 is 100101111001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98407062601 + 1704038400 = 313699^2 + 41280^2 .

It is an emirp because it is prime and its reverse (100101111001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100111101001 - 2²³ = 100102712393 is a prime.

It is not a weakly prime, because it can be changed into another prime (100111101031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055550500 + 50055550501.

It is an arithmetic number, because the mean of its divisors is an integer number (50055550501).

Almost surely, 2^100111101001 is an apocalyptic number.

It is an amenable number.

100111101001 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111101001 is an equidigital number, since it uses as much as digits as its factorization.

100111101001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 100111101001 its reverse (100101111001), we get a palindrome (200212212002).

The spelling of 100111101001 in words is "one hundred billion, one hundred eleven million, one hundred one thousand, one".