10721011635577 has 2 divisors, whose sum is σ = 10721011635578. Its totient is φ = 10721011635576.

The previous prime is 10721011635541. The next prime is 10721011635599. The reversal of 10721011635577 is 77553611012701.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10650797765136 + 70213870441 = 3263556^2 + 264979^2 .

It is a cyclic number.

It is not a de Polignac number, because 10721011635577 - 2²³ = 10721003246969 is a prime.

It is a super-2 number, since 2×10721011635577² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10721011615577) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5360505817788 + 5360505817789.

It is an arithmetic number, because the mean of its divisors is an integer number (5360505817789).

Almost surely, 2^{10721011635577} is an apocalyptic number.

It is an amenable number.

10721011635577 is a deficient number, since it is larger than the sum of its proper divisors (1).

10721011635577 is an equidigital number, since it uses as much as digits as its factorization.

10721011635577 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 308700, while the sum is 46.

The spelling of 10721011635577 in words is "ten trillion, seven hundred twenty-one billion, eleven million, six hundred thirty-five thousand, five hundred seventy-seven".