10111010221133 has 2 divisors, whose sum is σ = 10111010221134. Its totient is φ = 10111010221132.

The previous prime is 10111010221111. The next prime is 10111010221141. The reversal of 10111010221133 is 33112201011101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6109978154569 + 4001032066564 = 2471837^2 + 2000258^2 .

It is a cyclic number.

It is not a de Polignac number, because 10111010221133 - 2³² = 10106715253837 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10111010221153) 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, 5055505110566 + 5055505110567.

It is an arithmetic number, because the mean of its divisors is an integer number (5055505110567).

Almost surely, 2^{10111010221133} is an apocalyptic number.

It is an amenable number.

10111010221133 is a deficient number, since it is larger than the sum of its proper divisors (1).

10111010221133 is an equidigital number, since it uses as much as digits as its factorization.

10111010221133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 10111010221133 its reverse (33112201011101), we get a palindrome (43223211232234).

The spelling of 10111010221133 in words is "ten trillion, one hundred eleven billion, ten million, two hundred twenty-one thousand, one hundred thirty-three".