100205805697 has 2 divisors, whose sum is σ = 100205805698. Its totient is φ = 100205805696.

The previous prime is 100205805683. The next prime is 100205805769. The reversal of 100205805697 is 796508502001.

Together with next prime (100205805769) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 84718252096 + 15487553601 = 291064^2 + 124449^2 .

It is a cyclic number.

It is not a de Polignac number, because 100205805697 - 2¹⁹ = 100205281409 is a prime.

It is not a weakly prime, because it can be changed into another prime (100205805797) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50102902848 + 50102902849.

It is an arithmetic number, because the mean of its divisors is an integer number (50102902849).

Almost surely, 2^100205805697 is an apocalyptic number.

It is an amenable number.

100205805697 is a deficient number, since it is larger than the sum of its proper divisors (1).

100205805697 is an equidigital number, since it uses as much as digits as its factorization.

100205805697 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 151200, while the sum is 43.

The spelling of 100205805697 in words is "one hundred billion, two hundred five million, eight hundred five thousand, six hundred ninety-seven".