10001110102133 has 2 divisors, whose sum is σ = 10001110102134. Its totient is φ = 10001110102132.

The previous prime is 10001110102099. The next prime is 10001110102163. The reversal of 10001110102133 is 33120101110001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9461240783569 + 539869318564 = 3075913^2 + 734758^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001110102133 - 2⁸ = 10001110101877 is a prime.

It is a super-2 number, since 2×10001110102133² (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 (10001110102163) 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, 5000555051066 + 5000555051067.

It is an arithmetic number, because the mean of its divisors is an integer number (5000555051067).

Almost surely, 2^{10001110102133} is an apocalyptic number.

It is an amenable number.

10001110102133 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001110102133 is an equidigital number, since it uses as much as digits as its factorization.

10001110102133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 10001110102133 its reverse (33120101110001), we get a palindrome (43121211212134).

The spelling of 10001110102133 in words is "ten trillion, one billion, one hundred ten million, one hundred two thousand, one hundred thirty-three".