1011122011221 has 32 divisors (see below), whose sum is σ = 1677775718400. Its totient is φ = 528499339200.

The previous prime is 1011122011217. The next prime is 1011122011343. The reversal of 1011122011221 is 1221102211101.

It is a happy number.

It is not a de Polignac number, because 1011122011221 - 2² = 1011122011217 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1011122011221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011122011021) 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 31 ways as a sum of consecutive naturals, for example, 43680505 + ... + 43703646.

It is an arithmetic number, because the mean of its divisors is an integer number (52430491200).

Almost surely, 2^{1011122011221} is an apocalyptic number.

It is an amenable number.

1011122011221 is a deficient number, since it is larger than the sum of its proper divisors (666653707179).

1011122011221 is a wasteful number, since it uses less digits than its factorization.

1011122011221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87384209.

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

Adding to 1011122011221 its reverse (1221102211101), we get a palindrome (2232224222322).

The spelling of 1011122011221 in words is "one trillion, eleven billion, one hundred twenty-two million, eleven thousand, two hundred twenty-one".