2102102222029 has 2 divisors, whose sum is σ = 2102102222030. Its totient is φ = 2102102222028.

The previous prime is 2102102221997. The next prime is 2102102222063. The reversal of 2102102222029 is 9202222012012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2024578957129 + 77523264900 = 1422877^2 + 278430^2 .

It is a cyclic number.

It is not a de Polignac number, because 2102102222029 - 2⁵ = 2102102221997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2102102221994 and 2102102222012.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2102102232029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1051051111014 + 1051051111015.

It is an arithmetic number, because the mean of its divisors is an integer number (1051051111015).

Almost surely, 2^{2102102222029} is an apocalyptic number.

It is an amenable number.

2102102222029 is a deficient number, since it is larger than the sum of its proper divisors (1).

2102102222029 is an equidigital number, since it uses as much as digits as its factorization.

2102102222029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 25.

The spelling of 2102102222029 in words is "two trillion, one hundred two billion, one hundred two million, two hundred twenty-two thousand, twenty-nine".