100110011001101 has 2 divisors, whose sum is σ = 100110011001102. Its totient is φ = 100110011001100.

The previous prime is 100110011001083. The next prime is 100110011001107. The reversal of 100110011001101 is 101100110011001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 58702780827076 + 41407230174025 = 7661774^2 + 6434845^2 .

It is a cyclic number.

It is not a de Polignac number, because 100110011001101 - 2¹⁴ = 100110010984717 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100110011001107) 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, 50055005500550 + 50055005500551.

It is an arithmetic number, because the mean of its divisors is an integer number (50055005500551).

Almost surely, 2^{100110011001101} is an apocalyptic number.

It is an amenable number.

100110011001101 is a deficient number, since it is larger than the sum of its proper divisors (1).

100110011001101 is an equidigital number, since it uses as much as digits as its factorization.

100110011001101 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 8.

Adding to 100110011001101 its reverse (101100110011001), we get a palindrome (201210121012102).

It can be divided in two parts, 100110011001 and 101, that multiplied together give a palindrome (10111111111101).

The spelling of 100110011001101 in words is "one hundred trillion, one hundred ten billion, eleven million, one thousand, one hundred one".