212000111112109 has 2 divisors, whose sum is σ = 212000111112110. Its totient is φ = 212000111112108.

The previous prime is 212000111112043. The next prime is 212000111112121. The reversal of 212000111112109 is 901211111000212.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 150569833076100 + 61430278036009 = 12270690^2 + 7837747^2 .

It is a cyclic number.

It is not a de Polignac number, because 212000111112109 - 2¹¹ = 212000111110061 is a prime.

It is a super-2 number, since 2×212000111112109² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 212000111112109.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212000111119109) 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, 106000055556054 + 106000055556055.

It is an arithmetic number, because the mean of its divisors is an integer number (106000055556055).

Almost surely, 2^{212000111112109} is an apocalyptic number.

It is an amenable number.

212000111112109 is a deficient number, since it is larger than the sum of its proper divisors (1).

212000111112109 is an equidigital number, since it uses as much as digits as its factorization.

212000111112109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 22.

The spelling of 212000111112109 in words is "two hundred twelve trillion, one hundred eleven million, one hundred twelve thousand, one hundred nine".