2100536723567 has 2 divisors, whose sum is σ = 2100536723568. Its totient is φ = 2100536723566.

The previous prime is 2100536723507. The next prime is 2100536723587. The reversal of 2100536723567 is 7653276350012.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2100536723567 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2100536723507) 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, 1050268361783 + 1050268361784.

It is an arithmetic number, because the mean of its divisors is an integer number (1050268361784).

Almost surely, 2^{2100536723567} is an apocalyptic number.

2100536723567 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100536723567 is an equidigital number, since it uses as much as digits as its factorization.

2100536723567 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1587600, while the sum is 47.

The spelling of 2100536723567 in words is "two trillion, one hundred billion, five hundred thirty-six million, seven hundred twenty-three thousand, five hundred sixty-seven".