10000010121133 has 2 divisors, whose sum is σ = 10000010121134. Its totient is φ = 10000010121132.

The previous prime is 10000010121077. The next prime is 10000010121137. The reversal of 10000010121133 is 33112101000001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9943193678089 + 56816443044 = 3153283^2 + 238362^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10000010121133 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10000010121137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000005060566 + 5000005060567.

It is an arithmetic number, because the mean of its divisors is an integer number (5000005060567).

Almost surely, 2^{10000010121133} is an apocalyptic number.

It is an amenable number.

10000010121133 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000010121133 is an equidigital number, since it uses as much as digits as its factorization.

10000010121133 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 13.

Adding to 10000010121133 its reverse (33112101000001), we get a palindrome (43112111121134).

The spelling of 10000010121133 in words is "ten trillion, ten million, one hundred twenty-one thousand, one hundred thirty-three".