2011002100201 has 2 divisors, whose sum is σ = 2011002100202. Its totient is φ = 2011002100200.

The previous prime is 2011002100199. The next prime is 2011002100207. The reversal of 2011002100201 is 1020012001102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1188860941801 + 822141158400 = 1090349^2 + 906720^2 .

It is a cyclic number.

It is not a de Polignac number, because 2011002100201 - 2¹ = 2011002100199 is a prime.

Together with 2011002100199, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2011002100207) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1005501050100 + 1005501050101.

It is an arithmetic number, because the mean of its divisors is an integer number (1005501050101).

Almost surely, 2^{2011002100201} is an apocalyptic number.

It is an amenable number.

2011002100201 is a deficient number, since it is larger than the sum of its proper divisors (1).

2011002100201 is an equidigital number, since it uses as much as digits as its factorization.

2011002100201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 2011002100201 its reverse (1020012001102), we get a palindrome (3031014101303).

Subtracting from 2011002100201 its reverse (1020012001102), we obtain a palindrome (990990099099).

The spelling of 2011002100201 in words is "two trillion, eleven billion, two million, one hundred thousand, two hundred one".