2011012022221 has 12 divisors (see below), whose sum is σ = 2079252383580. Its totient is φ = 1944796156800.

The previous prime is 2011012022183. The next prime is 2011012022269. The reversal of 2011012022221 is 1222202101102.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1808322978121 + 202689044100 = 1344739^2 + 450210^2 .

It is a de Polignac number, because none of the positive numbers 2^k-2011012022221 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2011012022195 and 2011012022204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011012022281) 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, 5197516 + ... + 5571013.

It is an arithmetic number, because the mean of its divisors is an integer number (173271031965).

Almost surely, 2^{2011012022221} is an apocalyptic number.

It is an amenable number.

2011012022221 is a deficient number, since it is larger than the sum of its proper divisors (68240361359).

2011012022221 is a wasteful number, since it uses less digits than its factorization.

2011012022221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10768716 (or 10768673 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2011012022221 its reverse (1222202101102), we get a palindrome (3233214123323).

The spelling of 2011012022221 in words is "two trillion, eleven billion, twelve million, twenty-two thousand, two hundred twenty-one".