10100200201001 has 2 divisors, whose sum is σ = 10100200201002. Its totient is φ = 10100200201000.

The previous prime is 10100200200949. The next prime is 10100200201033. The reversal of 10100200201001 is 10010200200101.

10100200201001 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., 9977392007401 + 122808193600 = 3158701^2 + 350440^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10100200201001 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10100200201001.

It is not a weakly prime, because it can be changed into another prime (10100209201001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050100100500 + 5050100100501.

It is an arithmetic number, because the mean of its divisors is an integer number (5050100100501).

Almost surely, 2^{10100200201001} is an apocalyptic number.

It is an amenable number.

10100200201001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100200201001 is an equidigital number, since it uses as much as digits as its factorization.

10100200201001 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 10100200201001 its reverse (10010200200101), we get a palindrome (20110400401102).

The spelling of 10100200201001 in words is "ten trillion, one hundred billion, two hundred million, two hundred one thousand, one".