2011000000221 has 12 divisors (see below), whose sum is σ = 2904912607740. Its totient is φ = 1340604437760.

The previous prime is 2011000000183. The next prime is 2011000000277. The reversal of 2011000000221 is 1220000001102.

It can be written as a sum of positive squares in 2 ways, for example, as 560454363225 + 1450545636996 = 748635^2 + 1204386^2 .

It is a de Polignac number, because none of the positive numbers 2^k-2011000000221 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011000000721) 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 11 ways as a sum of consecutive naturals, for example, 4980660 + ... + 5369261.

It is an arithmetic number, because the mean of its divisors is an integer number (242076050645).

Almost surely, 2^{2011000000221} is an apocalyptic number.

It is an amenable number.

2011000000221 is a deficient number, since it is larger than the sum of its proper divisors (893912607519).

2011000000221 is a wasteful number, since it uses less digits than its factorization.

2011000000221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10371516 (or 10371513 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2011000000221 its reverse (1220000001102), we get a palindrome (3231000001323).

The spelling of 2011000000221 in words is "two trillion, eleven billion, two hundred twenty-one", and thus it is an aban number.