10002010020001 has 2 divisors, whose sum is σ = 10002010020002. Its totient is φ = 10002010020000.

The previous prime is 10002010019957. The next prime is 10002010020059. The reversal of 10002010020001 is 10002001020001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9849460408225 + 152549611776 = 3138385^2 + 390576^2 .

It is a cyclic number.

It is not a de Polignac number, because 10002010020001 - 2¹¹ = 10002010017953 is a prime.

It is not a weakly prime, because it can be changed into another prime (10002010021001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001005010000 + 5001005010001.

It is an arithmetic number, because the mean of its divisors is an integer number (5001005010001).

Almost surely, 2^{10002010020001} is an apocalyptic number.

It is an amenable number.

10002010020001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002010020001 is an equidigital number, since it uses as much as digits as its factorization.

10002010020001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 10002010020001 its reverse (10002001020001), we get a palindrome (20004011040002).

Subtracting from 10002010020001 its reverse (10002001020001), we obtain a square (9000000 = 3000²).

The spelling of 10002010020001 in words is "ten trillion, two billion, ten million, twenty thousand, one".