101111001001 has 2 divisors, whose sum is σ = 101111001002. Its totient is φ = 101111001000.

The previous prime is 101111000959. The next prime is 101111001037. The reversal of 101111001001 is 100100111101.

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., 95073555600 + 6037445401 = 308340^2 + 77701^2 .

It is a cyclic number.

It is not a de Polignac number, because 101111001001 - 2¹⁹ = 101110476713 is a prime.

It is not a weakly prime, because it can be changed into another prime (101111001041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555500500 + 50555500501.

It is an arithmetic number, because the mean of its divisors is an integer number (50555500501).

Almost surely, 2^101111001001 is an apocalyptic number.

It is an amenable number.

101111001001 is a deficient number, since it is larger than the sum of its proper divisors (1).

101111001001 is an equidigital number, since it uses as much as digits as its factorization.

101111001001 is an odious number, because the sum of its binary digits is odd.

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

Adding to 101111001001 its reverse (100100111101), we get a palindrome (201211112102).

The spelling of 101111001001 in words is "one hundred one billion, one hundred eleven million, one thousand, one".