2100213041 has 2 divisors, whose sum is σ = 2100213042. Its totient is φ = 2100213040.

The previous prime is 2100212977. The next prime is 2100213043. The reversal of 2100213041 is 1403120012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1247573041 + 852640000 = 35321^2 + 29200^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100213041 - 2⁶ = 2100212977 is a prime.

Together with 2100213043, 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 (2100213043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050106520 + 1050106521.

It is an arithmetic number, because the mean of its divisors is an integer number (1050106521).

Almost surely, 2^2100213041 is an apocalyptic number.

It is an amenable number.

2100213041 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100213041 is an equidigital number, since it uses as much as digits as its factorization.

2100213041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 2100213041 is about 45828.0813584859. The cubic root of 2100213041 is about 1280.6224676289.

Adding to 2100213041 its reverse (1403120012), we get a palindrome (3503333053).

It can be divided in two parts, 21002 and 13041, that added together give a palindrome (34043).

The spelling of 2100213041 in words is "two billion, one hundred million, two hundred thirteen thousand, forty-one".