1002010110001 has 2 divisors, whose sum is σ = 1002010110002. Its totient is φ = 1002010110000.

The previous prime is 1002010109999. The next prime is 1002010110007. The reversal of 1002010110001 is 1000110102001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 521393749776 + 480616360225 = 722076^2 + 693265^2 .

It is a cyclic number.

It is not a de Polignac number, because 1002010110001 - 2¹ = 1002010109999 is a prime.

It is a super-2 number, since 2×1002010110001² (a number of 25 digits) contains 22 as substring.

Together with 1002010109999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1002010110007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501005055000 + 501005055001.

It is an arithmetic number, because the mean of its divisors is an integer number (501005055001).

Almost surely, 2^{1002010110001} is an apocalyptic number.

It is an amenable number.

1002010110001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002010110001 is an equidigital number, since it uses as much as digits as its factorization.

1002010110001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 1002010110001 its reverse (1000110102001), we get a palindrome (2002120212002).

The spelling of 1002010110001 in words is "one trillion, two billion, ten million, one hundred ten thousand, one".