10121005200001 has 2 divisors, whose sum is σ = 10121005200002. Its totient is φ = 10121005200000.

The previous prime is 10121005199989. The next prime is 10121005200029. The reversal of 10121005200001 is 10000250012101.

10121005200001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9815212789776 + 305792410225 = 3132924^2 + 552985^2 .

It is a cyclic number.

It is not a de Polignac number, because 10121005200001 - 2⁷ = 10121005199873 is a prime.

It is not a weakly prime, because it can be changed into another prime (10121005209001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5060502600000 + 5060502600001.

It is an arithmetic number, because the mean of its divisors is an integer number (5060502600001).

Almost surely, 2^{10121005200001} is an apocalyptic number.

It is an amenable number.

10121005200001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10121005200001 is an equidigital number, since it uses as much as digits as its factorization.

10121005200001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 20, while the sum is 13.

Adding to 10121005200001 its reverse (10000250012101), we get a palindrome (20121255212102).

The spelling of 10121005200001 in words is "ten trillion, one hundred twenty-one billion, five million, two hundred thousand, one".