10012122010001 has 2 divisors, whose sum is σ = 10012122010002. Its totient is φ = 10012122010000.

The previous prime is 10012122009977. The next prime is 10012122010021. The reversal of 10012122010001 is 10001022121001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7119397968400 + 2892724041601 = 2668220^2 + 1700801^2 .

It is a cyclic number.

It is not a de Polignac number, because 10012122010001 - 2³⁴ = 9994942140817 is a prime.

It is not a weakly prime, because it can be changed into another prime (10012122010021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5006061005000 + 5006061005001.

It is an arithmetic number, because the mean of its divisors is an integer number (5006061005001).

Almost surely, 2^{10012122010001} is an apocalyptic number.

It is an amenable number.

10012122010001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10012122010001 is an equidigital number, since it uses as much as digits as its factorization.

10012122010001 is an evil number, because the sum of its binary digits is even.

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

Adding to 10012122010001 its reverse (10001022121001), we get a palindrome (20013144131002).

The spelling of 10012122010001 in words is "ten trillion, twelve billion, one hundred twenty-two million, ten thousand, one".