10100122102001 has 2 divisors, whose sum is σ = 10100122102002. Its totient is φ = 10100122102000.

The previous prime is 10100122101967. The next prime is 10100122102003. The reversal of 10100122102001 is 10020122100101.

10100122102001 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., 5302883234401 + 4797238867600 = 2302799^2 + 2190260^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10100122102001 is a prime.

Together with 10100122102003, 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 (10100122102003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050061051000 + 5050061051001.

It is an arithmetic number, because the mean of its divisors is an integer number (5050061051001).

Almost surely, 2^{10100122102001} is an apocalyptic number.

It is an amenable number.

10100122102001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100122102001 is an equidigital number, since it uses as much as digits as its factorization.

10100122102001 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 10100122102001 its reverse (10020122100101), we get a palindrome (20120244202102).

The spelling of 10100122102001 in words is "ten trillion, one hundred billion, one hundred twenty-two million, one hundred two thousand, one".