211100211029 has 2 divisors, whose sum is σ = 211100211030. Its totient is φ = 211100211028.

The previous prime is 211100211011. The next prime is 211100211043. The reversal of 211100211029 is 920112001112.

211100211029 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 171397656004 + 39702555025 = 414002^2 + 199255^2 .

It is a cyclic number.

It is not a de Polignac number, because 211100211029 - 2¹⁶ = 211100145493 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 211100211029.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211100211059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105550105514 + 105550105515.

It is an arithmetic number, because the mean of its divisors is an integer number (105550105515).

Almost surely, 2^211100211029 is an apocalyptic number.

It is an amenable number.

211100211029 is a deficient number, since it is larger than the sum of its proper divisors (1).

211100211029 is an equidigital number, since it uses as much as digits as its factorization.

211100211029 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 20.

The spelling of 211100211029 in words is "two hundred eleven billion, one hundred million, two hundred eleven thousand, twenty-nine".