1010102002001 has 2 divisors, whose sum is σ = 1010102002002. Its totient is φ = 1010102002000.

The previous prime is 1010102001949. The next prime is 1010102002003. The reversal of 1010102002001 is 1002002010101.

1010102002001 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., 648630501376 + 361471500625 = 805376^2 + 601225^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010102002001 - 2¹⁰ = 1010102000977 is a prime.

Together with 1010102002003, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1010102002001.

It is not a weakly prime, because it can be changed into another prime (1010102002003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505051001000 + 505051001001.

It is an arithmetic number, because the mean of its divisors is an integer number (505051001001).

Almost surely, 2^{1010102002001} is an apocalyptic number.

It is an amenable number.

1010102002001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010102002001 is an equidigital number, since it uses as much as digits as its factorization.

1010102002001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1010102002001 its reverse (1002002010101), we get a palindrome (2012104012102).

The spelling of 1010102002001 in words is "one trillion, ten billion, one hundred two million, two thousand, one".