2100726863857 has 2 divisors, whose sum is σ = 2100726863858. Its totient is φ = 2100726863856.

The previous prime is 2100726863819. The next prime is 2100726863867. The reversal of 2100726863857 is 7583686270012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1581756467041 + 518970396816 = 1257679^2 + 720396^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2100726863857 is a prime.

It is a super-2 number, since 2×2100726863857² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2100726863798 and 2100726863807.

It is not a weakly prime, because it can be changed into another prime (2100726863867) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050363431928 + 1050363431929.

It is an arithmetic number, because the mean of its divisors is an integer number (1050363431929).

Almost surely, 2^{2100726863857} is an apocalyptic number.

It is an amenable number.

2100726863857 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100726863857 is an equidigital number, since it uses as much as digits as its factorization.

2100726863857 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6773760, while the sum is 55.

The spelling of 2100726863857 in words is "two trillion, one hundred billion, seven hundred twenty-six million, eight hundred sixty-three thousand, eight hundred fifty-seven".