110100001127201 has 2 divisors, whose sum is σ = 110100001127202. Its totient is φ = 110100001127200.

The previous prime is 110100001127183. The next prime is 110100001127243. The reversal of 110100001127201 is 102721100001011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 108001562064400 + 2098439062801 = 10392380^2 + 1448599^2 .

It is an emirp because it is prime and its reverse (102721100001011) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 110100001127201 - 2³⁸ = 109825123220257 is a prime.

It is a super-2 number, since 2×110100001127201² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 110100001127201.

It is not a weakly prime, because it can be changed into another prime (110100001187201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55050000563600 + 55050000563601.

It is an arithmetic number, because the mean of its divisors is an integer number (55050000563601).

Almost surely, 2^{110100001127201} is an apocalyptic number.

It is an amenable number.

110100001127201 is a deficient number, since it is larger than the sum of its proper divisors (1).

110100001127201 is an equidigital number, since it uses as much as digits as its factorization.

110100001127201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28, while the sum is 17.

Adding to 110100001127201 its reverse (102721100001011), we get a palindrome (212821101128212).

The spelling of 110100001127201 in words is "one hundred ten trillion, one hundred billion, one million, one hundred twenty-seven thousand, two hundred one".