10011134414081 has 2 divisors, whose sum is σ = 10011134414082. Its totient is φ = 10011134414080.

The previous prime is 10011134414011. The next prime is 10011134414123. The reversal of 10011134414081 is 18041443111001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7386523809856 + 2624610604225 = 2717816^2 + 1620065^2 .

It is an emirp because it is prime and its reverse (18041443111001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10011134414081 - 2¹⁴ = 10011134397697 is a prime.

It is a super-2 number, since 2×10011134414081² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10011134414011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005567207040 + 5005567207041.

It is an arithmetic number, because the mean of its divisors is an integer number (5005567207041).

Almost surely, 2^{10011134414081} is an apocalyptic number.

It is an amenable number.

10011134414081 is a deficient number, since it is larger than the sum of its proper divisors (1).

10011134414081 is an equidigital number, since it uses as much as digits as its factorization.

10011134414081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1536, while the sum is 29.

Adding to 10011134414081 its reverse (18041443111001), we get a palindrome (28052577525082).

The spelling of 10011134414081 in words is "ten trillion, eleven billion, one hundred thirty-four million, four hundred fourteen thousand, eighty-one".