2100212101111 has 2 divisors, whose sum is σ = 2100212101112. Its totient is φ = 2100212101110.

The previous prime is 2100212101093. The next prime is 2100212101123. The reversal of 2100212101111 is 1111012120012.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2100212101111 - 2¹³ = 2100212092919 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2100212101091 and 2100212101100.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2100212101181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050106050555 + 1050106050556.

It is an arithmetic number, because the mean of its divisors is an integer number (1050106050556).

Almost surely, 2^{2100212101111} is an apocalyptic number.

2100212101111 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100212101111 is an equidigital number, since it uses as much as digits as its factorization.

2100212101111 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 2100212101111 its reverse (1111012120012), we get a palindrome (3211224221123).

It can be divided in two parts, 210021 and 2101111, that added together give a palindrome (2311132).

The spelling of 2100212101111 in words is "two trillion, one hundred billion, two hundred twelve million, one hundred one thousand, one hundred eleven".