212121029 has 2 divisors, whose sum is σ = 212121030. Its totient is φ = 212121028.

The previous prime is 212121023. The next prime is 212121031. The reversal of 212121029 is 920121212.

It is a happy number.

212121029 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., 113912929 + 98208100 = 10673^2 + 9910^2 .

It is a cyclic number.

It is not a de Polignac number, because 212121029 - 2⁸ = 212120773 is a prime.

It is a super-3 number, since 3×212121029³ (a number of 26 digits) contains 333 as substring.

Together with 212121031, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 212121029.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212121023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106060514 + 106060515.

It is an arithmetic number, because the mean of its divisors is an integer number (106060515).

Almost surely, 2^212121029 is an apocalyptic number.

It is an amenable number.

212121029 is a deficient number, since it is larger than the sum of its proper divisors (1).

212121029 is an equidigital number, since it uses as much as digits as its factorization.

212121029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 212121029 is about 14564.3753384757. The cubic root of 212121029 is about 596.3866432900.

The spelling of 212121029 in words is "two hundred twelve million, one hundred twenty-one thousand, twenty-nine".