10111000109981 has 2 divisors, whose sum is σ = 10111000109982. Its totient is φ = 10111000109980.

The previous prime is 10111000109897. The next prime is 10111000110031. The reversal of 10111000109981 is 18990100011101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7031884132900 + 3079115977081 = 2651770^2 + 1754741^2 .

It is an emirp because it is prime and its reverse (18990100011101) is a distict prime. It is also a bemirp because it and its reverse can be mirrored producing other two distinct primes, 18660100011101 and 10111000106681.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10111000109981 is a prime.

It is a super-2 number, since 2×10111000109981² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10111000409981) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5055500054990 + 5055500054991.

It is an arithmetic number, because the mean of its divisors is an integer number (5055500054991).

Almost surely, 2^{10111000109981} is an apocalyptic number.

It is an amenable number.

10111000109981 is a deficient number, since it is larger than the sum of its proper divisors (1).

10111000109981 is an equidigital number, since it uses as much as digits as its factorization.

10111000109981 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 32.

The spelling of 10111000109981 in words is "ten trillion, one hundred eleven billion, one hundred nine thousand, nine hundred eighty-one".