100101101001001 has 2 divisors, whose sum is σ = 100101101001002. Its totient is φ = 100101101001000.

The previous prime is 100101101000959. The next prime is 100101101001029. The reversal of 100101101001001 is 100100101101001.

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., 97186552088976 + 2914548912025 = 9858324^2 + 1707205^2 .

It is a cyclic number.

It is not a de Polignac number, because 100101101001001 - 2⁹ = 100101101000489 is a prime.

It is a super-2 number, since 2×100101101001001² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100101101001071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050550500500 + 50050550500501.

It is an arithmetic number, because the mean of its divisors is an integer number (50050550500501).

Almost surely, 2^{100101101001001} is an apocalyptic number.

It is an amenable number.

100101101001001 is a deficient number, since it is larger than the sum of its proper divisors (1).

100101101001001 is an equidigital number, since it uses as much as digits as its factorization.

100101101001001 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 100101101001001 its reverse (100100101101001), we get a palindrome (200201202102002).

The spelling of 100101101001001 in words is "one hundred trillion, one hundred one billion, one hundred one million, one thousand, one".