1011011233221 has 48 divisors (see below), whose sum is σ = 1691827233408. Its totient is φ = 574979328000.

The previous prime is 1011011233181. The next prime is 1011011233229. The reversal of 1011011233221 is 1223321101101.

It is not a de Polignac number, because 1011011233221 - 2²⁶ = 1010944124357 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1011011233194 and 1011011233203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011011233229) 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 47 ways as a sum of consecutive naturals, for example, 324105 + ... + 1458446.

It is an arithmetic number, because the mean of its divisors is an integer number (35246400696).

Almost surely, 2^{1011011233221} is an apocalyptic number.

1011011233221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1011011233221 is a deficient number, since it is larger than the sum of its proper divisors (680816000187).

1011011233221 is a wasteful number, since it uses less digits than its factorization.

1011011233221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1782922 (or 1782919 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1011011233221 its reverse (1223321101101), we get a palindrome (2234332334322).

The spelling of 1011011233221 in words is "one trillion, eleven billion, eleven million, two hundred thirty-three thousand, two hundred twenty-one".