2100021122011 has 2 divisors, whose sum is σ = 2100021122012. Its totient is φ = 2100021122010.

The previous prime is 2100021121993. The next prime is 2100021122039. The reversal of 2100021122011 is 1102211200012.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 2100021122011 - 2¹⁹ = 2100020597723 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2100021121982 and 2100021122000.

It is not a weakly prime, because it can be changed into another prime (2100021122041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050010561005 + 1050010561006.

It is an arithmetic number, because the mean of its divisors is an integer number (1050010561006).

Almost surely, 2^{2100021122011} is an apocalyptic number.

2100021122011 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100021122011 is an equidigital number, since it uses as much as digits as its factorization.

2100021122011 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2100021122011 its reverse (1102211200012), we get a palindrome (3202232322023).

The spelling of 2100021122011 in words is "two trillion, one hundred billion, twenty-one million, one hundred twenty-two thousand, eleven".