11001010010001 has 64 divisors (see below), whose sum is σ = 16292387782656. Its totient is φ = 6547475289600.

The previous prime is 11001010009993. The next prime is 11001010010009. The reversal of 11001010010001 is 10001001010011.

It is an interprime number because it is at equal distance from previous prime (11001010009993) and next prime (11001010010009).

It is not a de Polignac number, because 11001010010001 - 2³ = 11001010009993 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11001010010009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 164551341 + ... + 164618181.

It is an arithmetic number, because the mean of its divisors is an integer number (254568559104).

Almost surely, 2^{11001010010001} is an apocalyptic number.

11001010010001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11001010010001 is a deficient number, since it is larger than the sum of its proper divisors (5291377772655).

11001010010001 is a wasteful number, since it uses less digits than its factorization.

11001010010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67382.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 11001010010001 its reverse (10001001010011), we get a palindrome (21002011020012).

The spelling of 11001010010001 in words is "eleven trillion, one billion, ten million, ten thousand, one".