2121006829 has 2 divisors, whose sum is σ = 2121006830. Its totient is φ = 2121006828.

The previous prime is 2121006821. The next prime is 2121006851. The reversal of 2121006829 is 9286001212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1625944329 + 495062500 = 40323^2 + 22250^2 .

It is a cyclic number.

It is not a de Polignac number, because 2121006829 - 2³ = 2121006821 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2121006829.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2121006821) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1060503414 + 1060503415.

It is an arithmetic number, because the mean of its divisors is an integer number (1060503415).

Almost surely, 2^2121006829 is an apocalyptic number.

It is an amenable number.

2121006829 is a deficient number, since it is larger than the sum of its proper divisors (1).

2121006829 is an equidigital number, since it uses as much as digits as its factorization.

2121006829 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 2121006829 is about 46054.3898993353. The cubic root of 2121006829 is about 1284.8349909997.

The spelling of 2121006829 in words is "two billion, one hundred twenty-one million, six thousand, eight hundred twenty-nine".