1100100111601 has 2 divisors, whose sum is σ = 1100100111602. Its totient is φ = 1100100111600.

The previous prime is 1100100111469. The next prime is 1100100111619. The reversal of 1100100111601 is 1061110010011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 640761826576 + 459338285025 = 800476^2 + 677745^2 .

It is a cyclic number.

It is not a de Polignac number, because 1100100111601 - 2²⁹ = 1099563240689 is a prime.

It is a super-3 number, since 3×1100100111601³ (a number of 37 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (1100100111631) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 550050055800 + 550050055801.

It is an arithmetic number, because the mean of its divisors is an integer number (550050055801).

Almost surely, 2^{1100100111601} is an apocalyptic number.

It is an amenable number.

1100100111601 is a deficient number, since it is larger than the sum of its proper divisors (1).

1100100111601 is an equidigital number, since it uses as much as digits as its factorization.

1100100111601 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 1100100111601 its reverse (1061110010011), we get a palindrome (2161210121612).

The spelling of 1100100111601 in words is "one trillion, one hundred billion, one hundred million, one hundred eleven thousand, six hundred one".