2102110002049 has 2 divisors, whose sum is σ = 2102110002050. Its totient is φ = 2102110002048.

The previous prime is 2102110002029. The next prime is 2102110002131. The reversal of 2102110002049 is 9402000112012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1135364836225 + 966745165824 = 1065535^2 + 983232^2 .

It is a cyclic number.

It is not a de Polignac number, because 2102110002049 - 2¹³ = 2102109993857 is a prime.

It is not a weakly prime, because it can be changed into another prime (2102110002029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1051055001024 + 1051055001025.

It is an arithmetic number, because the mean of its divisors is an integer number (1051055001025).

Almost surely, 2^{2102110002049} is an apocalyptic number.

It is an amenable number.

2102110002049 is a deficient number, since it is larger than the sum of its proper divisors (1).

2102110002049 is an equidigital number, since it uses as much as digits as its factorization.

2102110002049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 22.

The spelling of 2102110002049 in words is "two trillion, one hundred two billion, one hundred ten million, two thousand, forty-nine".