10000111009753 has 2 divisors, whose sum is σ = 10000111009754. Its totient is φ = 10000111009752.

The previous prime is 10000111009709. The next prime is 10000111009769. The reversal of 10000111009753 is 35790011100001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6427375941529 + 3572735068224 = 2535227^2 + 1890168^2 .

It is an emirp because it is prime and its reverse (35790011100001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10000111009753 is a prime.

It is a super-2 number, since 2×10000111009753² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10000111009783) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000055504876 + 5000055504877.

It is an arithmetic number, because the mean of its divisors is an integer number (5000055504877).

Almost surely, 2^{10000111009753} is an apocalyptic number.

It is an amenable number.

10000111009753 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000111009753 is an equidigital number, since it uses as much as digits as its factorization.

10000111009753 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 945, while the sum is 28.

Adding to 10000111009753 its reverse (35790011100001), we get a palindrome (45790122109754).

The spelling of 10000111009753 in words is "ten trillion, one hundred eleven million, nine thousand, seven hundred fifty-three".