10101100011001 has 2 divisors, whose sum is σ = 10101100011002. Its totient is φ = 10101100011000.

The previous prime is 10101100010957. The next prime is 10101100011011. The reversal of 10101100011001 is 10011000110101.

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., 5646041299600 + 4455058711401 = 2376140^2 + 2110701^2 .

It is a cyclic number.

It is not a de Polignac number, because 10101100011001 - 2¹⁹ = 10101099486713 is a prime.

It is not a weakly prime, because it can be changed into another prime (10101100011011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050550005500 + 5050550005501.

It is an arithmetic number, because the mean of its divisors is an integer number (5050550005501).

Almost surely, 2^{10101100011001} is an apocalyptic number.

It is an amenable number.

10101100011001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101100011001 is an equidigital number, since it uses as much as digits as its factorization.

10101100011001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 10101100011001 its reverse (10011000110101), we get a palindrome (20112100121102).

The spelling of 10101100011001 in words is "ten trillion, one hundred one billion, one hundred million, eleven thousand, one".