2101000200001 has 2 divisors, whose sum is σ = 2101000200002. Its totient is φ = 2101000200000.

The previous prime is 2101000199983. The next prime is 2101000200017. The reversal of 2101000200001 is 1000020001012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2082552041025 + 18448158976 = 1443105^2 + 135824^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2101000200001 is a prime.

It is not a weakly prime, because it can be changed into another prime (2101000204001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050500100000 + 1050500100001.

It is an arithmetic number, because the mean of its divisors is an integer number (1050500100001).

Almost surely, 2^{2101000200001} is an apocalyptic number.

It is an amenable number.

2101000200001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101000200001 is an equidigital number, since it uses as much as digits as its factorization.

2101000200001 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 2101000200001 its reverse (1000020001012), we get a palindrome (3101020201013).

The spelling of 2101000200001 in words is "two trillion, one hundred one billion, two hundred thousand, one".