111001001000401 has 2 divisors, whose sum is σ = 111001001000402. Its totient is φ = 111001001000400.

The previous prime is 111001001000363. The next prime is 111001001000413. The reversal of 111001001000401 is 104000100100111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 83977887963025 + 27023113037376 = 9163945^2 + 5198376^2 .

It is a cyclic number.

It is not a de Polignac number, because 111001001000401 - 2⁷ = 111001001000273 is a prime.

It is not a weakly prime, because it can be changed into another prime (111001001030401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55500500500200 + 55500500500201.

It is an arithmetic number, because the mean of its divisors is an integer number (55500500500201).

Almost surely, 2^{111001001000401} is an apocalyptic number.

It is an amenable number.

111001001000401 is a deficient number, since it is larger than the sum of its proper divisors (1).

111001001000401 is an equidigital number, since it uses as much as digits as its factorization.

111001001000401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 111001001000401 its reverse (104000100100111), we get a palindrome (215001101100512).

The spelling of 111001001000401 in words is "one hundred eleven trillion, one billion, one million, four hundred one", and thus it is an aban number.