1010122102001 has 2 divisors, whose sum is σ = 1010122102002. Its totient is φ = 1010122102000.

The previous prime is 1010122101979. The next prime is 1010122102027. The reversal of 1010122102001 is 1002012210101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1007022285025 + 3099816976 = 1003505^2 + 55676^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010122102001 - 2³⁸ = 735244195057 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (1010122102051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505061051000 + 505061051001.

It is an arithmetic number, because the mean of its divisors is an integer number (505061051001).

Almost surely, 2^{1010122102001} is an apocalyptic number.

It is an amenable number.

1010122102001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010122102001 is an equidigital number, since it uses as much as digits as its factorization.

1010122102001 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 1010122102001 its reverse (1002012210101), we get a palindrome (2012134312102).

The spelling of 1010122102001 in words is "one trillion, ten billion, one hundred twenty-two million, one hundred two thousand, one".