111011011010401 has 2 divisors, whose sum is σ = 111011011010402. Its totient is φ = 111011011010400.

The previous prime is 111011011010377. The next prime is 111011011010467. The reversal of 111011011010401 is 104010110110111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 75421148166225 + 35589862844176 = 8684535^2 + 5965724^2 .

It is a cyclic number.

It is not a de Polignac number, because 111011011010401 - 2²³ = 111011002621793 is a prime.

It is not a weakly prime, because it can be changed into another prime (111011011010491) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55505505505200 + 55505505505201.

It is an arithmetic number, because the mean of its divisors is an integer number (55505505505201).

Almost surely, 2^{111011011010401} is an apocalyptic number.

It is an amenable number.

111011011010401 is a deficient number, since it is larger than the sum of its proper divisors (1).

111011011010401 is an equidigital number, since it uses as much as digits as its factorization.

111011011010401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 111011011010401 its reverse (104010110110111), we get a palindrome (215021121120512).

The spelling of 111011011010401 in words is "one hundred eleven trillion, eleven billion, eleven million, ten thousand, four hundred one".