10113120101041 has 2 divisors, whose sum is σ = 10113120101042. Its totient is φ = 10113120101040.

The previous prime is 10113120101027. The next prime is 10113120101143. The reversal of 10113120101041 is 14010102131101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6575485761441 + 3537634339600 = 2564271^2 + 1880860^2 .

It is an emirp because it is prime and its reverse (14010102131101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10113120101041 - 2⁵ = 10113120101009 is a prime.

It is not a weakly prime, because it can be changed into another prime (10113120101341) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5056560050520 + 5056560050521.

It is an arithmetic number, because the mean of its divisors is an integer number (5056560050521).

Almost surely, 2^{10113120101041} is an apocalyptic number.

It is an amenable number.

10113120101041 is a deficient number, since it is larger than the sum of its proper divisors (1).

10113120101041 is an equidigital number, since it uses as much as digits as its factorization.

10113120101041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 10113120101041 its reverse (14010102131101), we get a palindrome (24123222232142).

The spelling of 10113120101041 in words is "ten trillion, one hundred thirteen billion, one hundred twenty million, one hundred one thousand, forty-one".