210002100029 has 2 divisors, whose sum is σ = 210002100030. Its totient is φ = 210002100028.

The previous prime is 210002100017. The next prime is 210002100041. The reversal of 210002100029 is 920001200012.

It is a balanced prime because it is at equal distance from previous prime (210002100017) and next prime (210002100041).

It can be written as a sum of positive squares in only one way, i.e., 177013732900 + 32988367129 = 420730^2 + 181627^2 .

It is a cyclic number.

It is not a de Polignac number, because 210002100029 - 2³² = 205707132733 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (210002000029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105001050014 + 105001050015.

It is an arithmetic number, because the mean of its divisors is an integer number (105001050015).

Almost surely, 2^210002100029 is an apocalyptic number.

It is an amenable number.

210002100029 is a deficient number, since it is larger than the sum of its proper divisors (1).

210002100029 is an equidigital number, since it uses as much as digits as its factorization.

210002100029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 17.

The spelling of 210002100029 in words is "two hundred ten billion, two million, one hundred thousand, twenty-nine".