2100012211111 has 2 divisors, whose sum is σ = 2100012211112. Its totient is φ = 2100012211110.

The previous prime is 2100012211109. The next prime is 2100012211127. The reversal of 2100012211111 is 1111122100012.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 2100012211111 - 2¹ = 2100012211109 is a prime.

It is a super-2 number, since 2×2100012211111² (a number of 25 digits) contains 22 as substring.

Together with 2100012211109, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 2100012211091 and 2100012211100.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2100012211511) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050006105555 + 1050006105556.

It is an arithmetic number, because the mean of its divisors is an integer number (1050006105556).

Almost surely, 2^{2100012211111} is an apocalyptic number.

2100012211111 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100012211111 is an equidigital number, since it uses as much as digits as its factorization.

2100012211111 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 13.

Adding to 2100012211111 its reverse (1111122100012), we get a palindrome (3211134311123).

The spelling of 2100012211111 in words is "two trillion, one hundred billion, twelve million, two hundred eleven thousand, one hundred eleven".