11010001100021 has 64 divisors (see below), whose sum is σ = 14028366551040. Its totient is φ = 8392739650560.

The previous prime is 11010001099997. The next prime is 11010001100053. The reversal of 11010001100021 is 12000110001011.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11010001100021 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 11010001099981 and 11010001100008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11010001100321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1006485170 + ... + 1006496108.

It is an arithmetic number, because the mean of its divisors is an integer number (219193227360).

Almost surely, 2^{11010001100021} is an apocalyptic number.

11010001100021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11010001100021 is a deficient number, since it is larger than the sum of its proper divisors (3018365451019).

11010001100021 is a wasteful number, since it uses less digits than its factorization.

11010001100021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12474.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 11010001100021 its reverse (12000110001011), we get a palindrome (23010111101032).

The spelling of 11010001100021 in words is "eleven trillion, ten billion, one million, one hundred thousand, twenty-one".