10010010011001 has 64 divisors (see below), whose sum is σ = 17920700098560. Its totient is φ = 4799822077440.

The previous prime is 10010010010997. The next prime is 10010010011017. The reversal of 10010010011001 is 10011001001001.

It is not a de Polignac number, because 10010010011001 - 2² = 10010010010997 is a prime.

10010010011001 is a modest number, since divided by 10011001 gives 100100 as remainder.

It is not an unprimeable number, because it can be changed into a prime (10010010016001) 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, 111483541 + ... + 111573293.

It is an arithmetic number, because the mean of its divisors is an integer number (280010939040).

Almost surely, 2^{10010010011001} is an apocalyptic number.

10010010011001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10010010011001 is a deficient number, since it is larger than the sum of its proper divisors (7910690087559).

10010010011001 is a wasteful number, since it uses less digits than its factorization.

10010010011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126926.

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

Adding to 10010010011001 its reverse (10011001001001), we get a palindrome (20021011012002).

It can be divided in two parts, 1001001001 and 1001, that multiplied together give a palindrome (1002002002001).

The spelling of 10010010011001 in words is "ten trillion, ten billion, ten million, eleven thousand, one".