2100202102249 has 2 divisors, whose sum is σ = 2100202102250. Its totient is φ = 2100202102248.

The previous prime is 2100202102247. The next prime is 2100202102253. The reversal of 2100202102249 is 9422012020012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1559488952025 + 540713150224 = 1248795^2 + 735332^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100202102249 - 2¹ = 2100202102247 is a prime.

It is a super-2 number, since 2×2100202102249² (a number of 25 digits) contains 22 as substring.

Together with 2100202102247, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2100202102247) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050101051124 + 1050101051125.

It is an arithmetic number, because the mean of its divisors is an integer number (1050101051125).

Almost surely, 2^{2100202102249} is an apocalyptic number.

It is an amenable number.

2100202102249 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100202102249 is an equidigital number, since it uses as much as digits as its factorization.

2100202102249 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 2100202102249 in words is "two trillion, one hundred billion, two hundred two million, one hundred two thousand, two hundred forty-nine".