2000210000101 has 2 divisors, whose sum is σ = 2000210000102. Its totient is φ = 2000210000100.

The previous prime is 2000210000077. The next prime is 2000210000149. The reversal of 2000210000101 is 1010000120002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1444626109476 + 555583890625 = 1201926^2 + 745375^2 .

It is a cyclic number.

It is not a de Polignac number, because 2000210000101 - 2⁵ = 2000210000069 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2000210000801) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000105000050 + 1000105000051.

It is an arithmetic number, because the mean of its divisors is an integer number (1000105000051).

Almost surely, 2^{2000210000101} is an apocalyptic number.

It is an amenable number.

2000210000101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2000210000101 is an equidigital number, since it uses as much as digits as its factorization.

2000210000101 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 7.

Adding to 2000210000101 its reverse (1010000120002), we get a palindrome (3010210120103).

The spelling of 2000210000101 in words is "two trillion, two hundred ten million, one hundred one", and thus it is an aban number.