10210012120001 has 2 divisors, whose sum is σ = 10210012120002. Its totient is φ = 10210012120000.

The previous prime is 10210012119991. The next prime is 10210012120003. The reversal of 10210012120001 is 10002121001201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7494322355776 + 2715689764225 = 2737576^2 + 1647935^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10210012120001 is a prime.

Together with 10210012120003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10210012120003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5105006060000 + 5105006060001.

It is an arithmetic number, because the mean of its divisors is an integer number (5105006060001).

Almost surely, 2^{10210012120001} is an apocalyptic number.

It is an amenable number.

10210012120001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10210012120001 is an equidigital number, since it uses as much as digits as its factorization.

10210012120001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10210012120001 its reverse (10002121001201), we get a palindrome (20212133121202).

The spelling of 10210012120001 in words is "ten trillion, two hundred ten billion, twelve million, one hundred twenty thousand, one".