2011201020041 has 2 divisors, whose sum is σ = 2011201020042. Its totient is φ = 2011201020040.

The previous prime is 2011201019999. The next prime is 2011201020043. The reversal of 2011201020041 is 1400201021102.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1105095025225 + 906105994816 = 1051235^2 + 951896^2 .

It is a cyclic number.

It is not a de Polignac number, because 2011201020041 - 2⁶ = 2011201019977 is a prime.

Together with 2011201020043, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 2011201019998 and 2011201020025.

It is not a weakly prime, because it can be changed into another prime (2011201020043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1005600510020 + 1005600510021.

It is an arithmetic number, because the mean of its divisors is an integer number (1005600510021).

Almost surely, 2^{2011201020041} is an apocalyptic number.

It is an amenable number.

2011201020041 is a deficient number, since it is larger than the sum of its proper divisors (1).

2011201020041 is an equidigital number, since it uses as much as digits as its factorization.

2011201020041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2011201020041 its reverse (1400201021102), we get a palindrome (3411402041143).

The spelling of 2011201020041 in words is "two trillion, eleven billion, two hundred one million, twenty thousand, forty-one".