1011011122221 has 16 divisors (see below), whose sum is σ = 1355064286464. Its totient is φ = 670483021824.

The previous prime is 1011011122193. The next prime is 1011011122249. The reversal of 1011011122221 is 1222211101101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1011011122193) and next prime (1011011122249).

It is not a de Polignac number, because 1011011122221 - 2⁶ = 1011011122157 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1011011122221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011011122421) 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, 23072685 + ... + 23116461.

It is an arithmetic number, because the mean of its divisors is an integer number (84691517904).

Almost surely, 2^{1011011122221} is an apocalyptic number.

It is an amenable number.

1011011122221 is a deficient number, since it is larger than the sum of its proper divisors (344053164243).

1011011122221 is a wasteful number, since it uses less digits than its factorization.

1011011122221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83860.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 1011011122221 its reverse (1222211101101), we get a palindrome (2233222223322).

The spelling of 1011011122221 in words is "one trillion, eleven billion, eleven million, one hundred twenty-two thousand, two hundred twenty-one".