10100121200017 has 2 divisors, whose sum is σ = 10100121200018. Its totient is φ = 10100121200016.

The previous prime is 10100121199969. The next prime is 10100121200053. The reversal of 10100121200017 is 71000212100101.

10100121200017 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6063433459216 + 4036687740801 = 2462404^2 + 2009151^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10100121200017 is a prime.

It is not a weakly prime, because it can be changed into another prime (10100121200417) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050060600008 + 5050060600009.

It is an arithmetic number, because the mean of its divisors is an integer number (5050060600009).

Almost surely, 2^{10100121200017} is an apocalyptic number.

It is an amenable number.

10100121200017 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100121200017 is an equidigital number, since it uses as much as digits as its factorization.

10100121200017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 28, while the sum is 16.

Adding to 10100121200017 its reverse (71000212100101), we get a palindrome (81100333300118).

The spelling of 10100121200017 in words is "ten trillion, one hundred billion, one hundred twenty-one million, two hundred thousand, seventeen".