100111000011601 has 2 divisors, whose sum is σ = 100111000011602. Its totient is φ = 100111000011600.

The previous prime is 100111000011587. The next prime is 100111000011613. The reversal of 100111000011601 is 106110000111001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81428515250625 + 18682484760976 = 9023775^2 + 4322324^2 .

It is a cyclic number.

It is not a de Polignac number, because 100111000011601 - 2¹³ = 100111000003409 is a prime.

It is not a weakly prime, because it can be changed into another prime (100111000011901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055500005800 + 50055500005801.

It is an arithmetic number, because the mean of its divisors is an integer number (50055500005801).

Almost surely, 2^{100111000011601} is an apocalyptic number.

It is an amenable number.

100111000011601 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111000011601 is an equidigital number, since it uses as much as digits as its factorization.

100111000011601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 13.

Adding to 100111000011601 its reverse (106110000111001), we get a palindrome (206221000122602).

The spelling of 100111000011601 in words is "one hundred trillion, one hundred eleven billion, eleven thousand, six hundred one".