100100011601 has 2 divisors, whose sum is σ = 100100011602. Its totient is φ = 100100011600.

The previous prime is 100100011549. The next prime is 100100011657. The reversal of 100100011601 is 106110001001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 82368426001 + 17731585600 = 286999^2 + 133160^2 .

It is a cyclic number.

It is not a de Polignac number, because 100100011601 - 2⁶ = 100100011537 is a prime.

It is not a weakly prime, because it can be changed into another prime (100100011681) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050005800 + 50050005801.

It is an arithmetic number, because the mean of its divisors is an integer number (50050005801).

Almost surely, 2^100100011601 is an apocalyptic number.

It is an amenable number.

100100011601 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100011601 is an equidigital number, since it uses as much as digits as its factorization.

100100011601 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 11.

Adding to 100100011601 its reverse (106110001001), we get a palindrome (206210012602).

The spelling of 100100011601 in words is "one hundred billion, one hundred million, eleven thousand, six hundred one".