2100331132241 has 2 divisors, whose sum is σ = 2100331132242. Its totient is φ = 2100331132240.

The previous prime is 2100331132223. The next prime is 2100331132243. The reversal of 2100331132241 is 1422311330012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1621853190400 + 478477941841 = 1273520^2 + 691721^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2100331132241 is a prime.

It is a super-2 number, since 2×2100331132241² (a number of 25 digits) contains 22 as substring.

Together with 2100331132243, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2100331132243) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050165566120 + 1050165566121.

It is an arithmetic number, because the mean of its divisors is an integer number (1050165566121).

Almost surely, 2^{2100331132241} is an apocalyptic number.

It is an amenable number.

2100331132241 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100331132241 is an equidigital number, since it uses as much as digits as its factorization.

2100331132241 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 2100331132241 its reverse (1422311330012), we get a palindrome (3522642462253).

The spelling of 2100331132241 in words is "two trillion, one hundred billion, three hundred thirty-one million, one hundred thirty-two thousand, two hundred forty-one".