111000010100401 has 2 divisors, whose sum is σ = 111000010100402. Its totient is φ = 111000010100400.

The previous prime is 111000010100333. The next prime is 111000010100407. The reversal of 111000010100401 is 104001010000111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 75252155040000 + 35747855060401 = 8674800^2 + 5978951^2 .

It is a cyclic number.

It is not a de Polignac number, because 111000010100401 - 2²¹ = 111000008003249 is a prime.

It is not a weakly prime, because it can be changed into another prime (111000010100407) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55500005050200 + 55500005050201.

It is an arithmetic number, because the mean of its divisors is an integer number (55500005050201).

Almost surely, 2^{111000010100401} is an apocalyptic number.

It is an amenable number.

111000010100401 is a deficient number, since it is larger than the sum of its proper divisors (1).

111000010100401 is an equidigital number, since it uses as much as digits as its factorization.

111000010100401 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 10.

Adding to 111000010100401 its reverse (104001010000111), we get a palindrome (215001020100512).

The spelling of 111000010100401 in words is "one hundred eleven trillion, ten million, one hundred thousand, four hundred one".