211100102111 has 2 divisors, whose sum is σ = 211100102112. Its totient is φ = 211100102110.

The previous prime is 211100102099. The next prime is 211100102149. The reversal of 211100102111 is 111201001112.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 211100102111 - 2⁶ = 211100102047 is a prime.

It is a super-2 number, since 2×211100102111² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211100102092 and 211100102101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211100102911) 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, 105550051055 + 105550051056.

It is an arithmetic number, because the mean of its divisors is an integer number (105550051056).

Almost surely, 2^211100102111 is an apocalyptic number.

211100102111 is a deficient number, since it is larger than the sum of its proper divisors (1).

211100102111 is an equidigital number, since it uses as much as digits as its factorization.

211100102111 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 211100102111 its reverse (111201001112), we get a palindrome (322301103223).

The spelling of 211100102111 in words is "two hundred eleven billion, one hundred million, one hundred two thousand, one hundred eleven".