10111000106681 has 2 divisors, whose sum is σ = 10111000106682. Its totient is φ = 10111000106680.

The previous prime is 10111000106633. The next prime is 10111000106687. The reversal of 10111000106681 is 18660100011101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9382949185600 + 728050921081 = 3063160^2 + 853259^2 .

It is an emirp because it is prime and its reverse (18660100011101) is a distict prime. It is also a bemirp because it and its reverse can be mirrored producing other two distinct primes, 18990100011101 and 10111000109981.

It is a cyclic number.

It is not a de Polignac number, because 10111000106681 - 2¹⁴ = 10111000090297 is a prime.

It is a super-2 number, since 2×10111000106681² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10111000106681.

It is not a weakly prime, because it can be changed into another prime (10111000106687) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5055500053340 + 5055500053341.

It is an arithmetic number, because the mean of its divisors is an integer number (5055500053341).

Almost surely, 2^{10111000106681} is an apocalyptic number.

It is an amenable number.

10111000106681 is a deficient number, since it is larger than the sum of its proper divisors (1).

10111000106681 is an equidigital number, since it uses as much as digits as its factorization.

10111000106681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 26.

Adding to 10111000106681 its reverse (18660100011101), we get a palindrome (28771100117782).

The spelling of 10111000106681 in words is "ten trillion, one hundred eleven billion, one hundred six thousand, six hundred eighty-one".