29945003213201 has 2 divisors, whose sum is σ = 29945003213202. Its totient is φ = 29945003213200.

The previous prime is 29945003213183. The next prime is 29945003213249. The reversal of 29945003213201 is 10231230054992.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19002833882176 + 10942169331025 = 4359224^2 + 3307895^2 .

It is a cyclic number.

It is not a de Polignac number, because 29945003213201 - 2¹⁴ = 29945003196817 is a prime.

It is not a weakly prime, because it can be changed into another prime (29945003213101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 14972501606600 + 14972501606601.

It is an arithmetic number, because the mean of its divisors is an integer number (14972501606601).

Almost surely, 2^{29945003213201} is an apocalyptic number.

It is an amenable number.

29945003213201 is a deficient number, since it is larger than the sum of its proper divisors (1).

29945003213201 is an equidigital number, since it uses as much as digits as its factorization.

29945003213201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 116640, while the sum is 41.

The spelling of 29945003213201 in words is "twenty-nine trillion, nine hundred forty-five billion, three million, two hundred thirteen thousand, two hundred one".