10010011101001 has 8 divisors (see below), whose sum is σ = 10055821627080. Its totient is φ = 9964218824832.

The previous prime is 10010011100983. The next prime is 10010011101017. The reversal of 10010011101001 is 10010111001001.

It is a happy number.

10010011101001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4226231408400 + 5783779692601 = 2055780^2 + 2404949^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10010011101001 - 2⁹ = 10010011100489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10010071101001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3462370 + ... + 5657563.

It is an arithmetic number, because the mean of its divisors is an integer number (1256977703385).

Almost surely, 2^{10010011101001} is an apocalyptic number.

It is an amenable number.

10010011101001 is a deficient number, since it is larger than the sum of its proper divisors (45810526079).

10010011101001 is an equidigital number, since it uses as much as digits as its factorization.

10010011101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9124955.

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

Adding to 10010011101001 its reverse (10010111001001), we get a palindrome (20020122102002).

The spelling of 10010011101001 in words is "ten trillion, ten billion, eleven million, one hundred one thousand, one".