10080109961 has 2 divisors, whose sum is σ = 10080109962. Its totient is φ = 10080109960.

The previous prime is 10080109943. The next prime is 10080109979. The reversal of 10080109961 is 16990108001.

It is a balanced prime because it is at equal distance from previous prime (10080109943) and next prime (10080109979).

It can be written as a sum of positive squares in only one way, i.e., 9971220736 + 108889225 = 99856^2 + 10435^2 .

It is an emirp because it is prime and its reverse (16990108001) is a distict prime. It is also a bemirp because it and its reverse can be mirrored producing other two distinct primes, 19660108001 and 10080106691.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10080109961 is a prime.

It is not a weakly prime, because it can be changed into another prime (10080109901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5040054980 + 5040054981.

It is an arithmetic number, because the mean of its divisors is an integer number (5040054981).

Almost surely, 2^10080109961 is an apocalyptic number.

It is an amenable number.

10080109961 is a deficient number, since it is larger than the sum of its proper divisors (1).

10080109961 is an equidigital number, since it uses as much as digits as its factorization.

10080109961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3888, while the sum is 35.

The spelling of 10080109961 in words is "ten billion, eighty million, one hundred nine thousand, nine hundred sixty-one".