21100853674657 has 2 divisors, whose sum is σ = 21100853674658. Its totient is φ = 21100853674656.

The previous prime is 21100853674633. The next prime is 21100853674669. The reversal of 21100853674657 is 75647635800112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17072961219136 + 4027892455521 = 4131944^2 + 2006961^2 .

It is a cyclic number.

It is not a de Polignac number, because 21100853674657 - 2¹¹ = 21100853672609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21100853674598 and 21100853674607.

It is not a weakly prime, because it can be changed into another prime (21100853674357) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10550426837328 + 10550426837329.

It is an arithmetic number, because the mean of its divisors is an integer number (10550426837329).

Almost surely, 2^{21100853674657} is an apocalyptic number.

It is an amenable number.

21100853674657 is a deficient number, since it is larger than the sum of its proper divisors (1).

21100853674657 is an equidigital number, since it uses as much as digits as its factorization.

21100853674657 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8467200, while the sum is 55.

The spelling of 21100853674657 in words is "twenty-one trillion, one hundred billion, eight hundred fifty-three million, six hundred seventy-four thousand, six hundred fifty-seven".