2102210010011 has 2 divisors, whose sum is σ = 2102210010012. Its totient is φ = 2102210010010.

The previous prime is 2102210009993. The next prime is 2102210010079. The reversal of 2102210010011 is 1100100122012.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 2102210010011 - 2³⁸ = 1827332103067 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2102210009974 and 2102210010001.

It is not a weakly prime, because it can be changed into another prime (2102210010311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1051105005005 + 1051105005006.

It is an arithmetic number, because the mean of its divisors is an integer number (1051105005006).

Almost surely, 2^{2102210010011} is an apocalyptic number.

2102210010011 is a deficient number, since it is larger than the sum of its proper divisors (1).

2102210010011 is an equidigital number, since it uses as much as digits as its factorization.

2102210010011 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 11.

Subtracting from 2102210010011 its sum of digits (11), we obtain a square (2102210010000 = 1449900²).

Adding to 2102210010011 its reverse (1100100122012), we get a palindrome (3202310132023).

The spelling of 2102210010011 in words is "two trillion, one hundred two billion, two hundred ten million, ten thousand, eleven".