11201121010209 has 16 divisors (see below), whose sum is σ = 16387126241472. Its totient is φ = 6762940986048.

The previous prime is 11201121010151. The next prime is 11201121010223. The reversal of 11201121010209 is 90201012110211.

It is not a de Polignac number, because 11201121010209 - 2²⁷ = 11200986792481 is a prime.

It is a super-2 number, since 2×11201121010209² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11201121010259) 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 15 ways as a sum of consecutive naturals, for example, 2709509547 + ... + 2709513680.

It is an arithmetic number, because the mean of its divisors is an integer number (1024195390092).

Almost surely, 2^{11201121010209} is an apocalyptic number.

It is an amenable number.

11201121010209 is a deficient number, since it is larger than the sum of its proper divisors (5186005231263).

11201121010209 is a wasteful number, since it uses less digits than its factorization.

11201121010209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5419023296.

The product of its (nonzero) digits is 72, while the sum is 21.

The spelling of 11201121010209 in words is "eleven trillion, two hundred one billion, one hundred twenty-one million, ten thousand, two hundred nine".