2100052627373 has 2 divisors, whose sum is σ = 2100052627374. Its totient is φ = 2100052627372.

The previous prime is 2100052627327. The next prime is 2100052627417. The reversal of 2100052627373 is 3737262500012.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1944136628329 + 155915999044 = 1394323^2 + 394862^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2100052627373 is a prime.

It is a super-2 number, since 2×2100052627373² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2100057627373) 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, 1050026313686 + 1050026313687.

It is an arithmetic number, because the mean of its divisors is an integer number (1050026313687).

Almost surely, 2^{2100052627373} is an apocalyptic number.

It is an amenable number.

2100052627373 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100052627373 is an equidigital number, since it uses as much as digits as its factorization.

2100052627373 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 105840, while the sum is 38.

The spelling of 2100052627373 in words is "two trillion, one hundred billion, fifty-two million, six hundred twenty-seven thousand, three hundred seventy-three".