10001201120081 has 2 divisors, whose sum is σ = 10001201120082. Its totient is φ = 10001201120080.

The previous prime is 10001201119997. The next prime is 10001201120159. The reversal of 10001201120081 is 18002110210001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9037142241856 + 964058878225 = 3006184^2 + 981865^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001201120081 - 2³⁰ = 10000127378257 is a prime.

It is a super-2 number, since 2×10001201120081² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10001201125081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000600560040 + 5000600560041.

It is an arithmetic number, because the mean of its divisors is an integer number (5000600560041).

Almost surely, 2^{10001201120081} is an apocalyptic number.

It is an amenable number.

10001201120081 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001201120081 is an equidigital number, since it uses as much as digits as its factorization.

10001201120081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 10001201120081 its reverse (18002110210001), we get a palindrome (28003311330082).

The spelling of 10001201120081 in words is "ten trillion, one billion, two hundred one million, one hundred twenty thousand, eighty-one".