10061801681 has 2 divisors, whose sum is σ = 10061801682. Its totient is φ = 10061801680.

The previous prime is 10061801669. The next prime is 10061801723. The reversal of 10061801681 is 18610816001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7742416081 + 2319385600 = 87991^2 + 48160^2 .

It is an emirp because it is prime and its reverse (18610816001) is a distict prime. It is also a bemirp because it and its reverse can be mirrored producing other two distinct primes, 18910819001 and 10091801981.

It is a cyclic number.

It is not a de Polignac number, because 10061801681 - 2¹⁴ = 10061785297 is a prime.

It is a super-2 number, since 2×10061801681² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10061801621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5030900840 + 5030900841.

It is an arithmetic number, because the mean of its divisors is an integer number (5030900841).

Almost surely, 2^10061801681 is an apocalyptic number.

It is an amenable number.

10061801681 is a deficient number, since it is larger than the sum of its proper divisors (1).

10061801681 is an equidigital number, since it uses as much as digits as its factorization.

10061801681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 32.

The spelling of 10061801681 in words is "ten billion, sixty-one million, eight hundred one thousand, six hundred eighty-one".