2102111011213 has 2 divisors, whose sum is σ = 2102111011214. Its totient is φ = 2102111011212.

The previous prime is 2102111011201. The next prime is 2102111011261. The reversal of 2102111011213 is 3121101112012.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2078432572329 + 23678438884 = 1441677^2 + 153878^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2102111011213 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2102111011513) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1051055505606 + 1051055505607.

It is an arithmetic number, because the mean of its divisors is an integer number (1051055505607).

Almost surely, 2^{2102111011213} is an apocalyptic number.

It is an amenable number.

2102111011213 is a deficient number, since it is larger than the sum of its proper divisors (1).

2102111011213 is an equidigital number, since it uses as much as digits as its factorization.

2102111011213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 2102111011213 its reverse (3121101112012), we get a palindrome (5223212123225).

The spelling of 2102111011213 in words is "two trillion, one hundred two billion, one hundred eleven million, eleven thousand, two hundred thirteen".