1001121022133 has 2 divisors, whose sum is σ = 1001121022134. Its totient is φ = 1001121022132.

The previous prime is 1001121022049. The next prime is 1001121022141. The reversal of 1001121022133 is 3312201211001.

1001121022133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 996558965284 + 4562056849 = 998278^2 + 67543^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001121022133 - 2³² = 996826054837 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1001121022163) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500560511066 + 500560511067.

It is an arithmetic number, because the mean of its divisors is an integer number (500560511067).

Almost surely, 2^{1001121022133} is an apocalyptic number.

It is an amenable number.

1001121022133 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001121022133 is an equidigital number, since it uses as much as digits as its factorization.

1001121022133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 1001121022133 its reverse (3312201211001), we get a palindrome (4313322233134).

The spelling of 1001121022133 in words is "one trillion, one billion, one hundred twenty-one million, twenty-two thousand, one hundred thirty-three".