100111010011601 has 2 divisors, whose sum is σ = 100111010011602. Its totient is φ = 100111010011600.

The previous prime is 100111010011589. The next prime is 100111010011667. The reversal of 100111010011601 is 106110010111001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99023993166400 + 1087016845201 = 9951080^2 + 1042601^2 .

It is a cyclic number.

It is not a de Polignac number, because 100111010011601 - 2¹⁰ = 100111010010577 is a prime.

It is not a weakly prime, because it can be changed into another prime (100111010811601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055505005800 + 50055505005801.

It is an arithmetic number, because the mean of its divisors is an integer number (50055505005801).

Almost surely, 2^{100111010011601} is an apocalyptic number.

It is an amenable number.

100111010011601 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111010011601 is an equidigital number, since it uses as much as digits as its factorization.

100111010011601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6, while the sum is 14.

Adding to 100111010011601 its reverse (106110010111001), we get a palindrome (206221020122602).

The spelling of 100111010011601 in words is "one hundred trillion, one hundred eleven billion, ten million, eleven thousand, six hundred one".