10001001101233 has 2 divisors, whose sum is σ = 10001001101234. Its totient is φ = 10001001101232.

The previous prime is 10001001101153. The next prime is 10001001101303. The reversal of 10001001101233 is 33210110010001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7958136914289 + 2042864186944 = 2821017^2 + 1429288^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10001001101233 is a prime.

It is not a weakly prime, because it can be changed into another prime (10001001108233) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000500550616 + 5000500550617.

It is an arithmetic number, because the mean of its divisors is an integer number (5000500550617).

Almost surely, 2^{10001001101233} is an apocalyptic number.

It is an amenable number.

10001001101233 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001001101233 is an equidigital number, since it uses as much as digits as its factorization.

10001001101233 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 10001001101233 its reverse (33210110010001), we get a palindrome (43211111111234).

The spelling of 10001001101233 in words is "ten trillion, one billion, one million, one hundred one thousand, two hundred thirty-three".