11021002201001 has 16 divisors (see below), whose sum is σ = 11874578192400. Its totient is φ = 10168256913408.

The previous prime is 11021002200911. The next prime is 11021002201009. The reversal of 11021002201001 is 10010220012011.

11021002201001 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 8 ways, for example, as 570659376400 + 10450342824601 = 755420^2 + 3232699^2 .

It is a cyclic number.

It is not a de Polignac number, because 11021002201001 - 2¹⁴ = 11021002184617 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11021002201009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 277524335 + ... + 277564043.

It is an arithmetic number, because the mean of its divisors is an integer number (742161137025).

Almost surely, 2^{11021002201001} is an apocalyptic number.

It is an amenable number.

11021002201001 is a deficient number, since it is larger than the sum of its proper divisors (853575991399).

11021002201001 is a wasteful number, since it uses less digits than its factorization.

11021002201001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49628.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 11021002201001 its reverse (10010220012011), we get a palindrome (21031222213012).

The spelling of 11021002201001 in words is "eleven trillion, twenty-one billion, two million, two hundred one thousand, one".