10111221011221 has 32 divisors (see below), whose sum is σ = 11187619762176. Its totient is φ = 9061841160000.

The previous prime is 10111221011207. The next prime is 10111221011261. The reversal of 10111221011221 is 12211012211101.

It is a cyclic number.

It is not a de Polignac number, because 10111221011221 - 2⁵ = 10111221011189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10111221011195 and 10111221011204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111221011261) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 668237826 + ... + 668252956.

It is an arithmetic number, because the mean of its divisors is an integer number (349613117568).

Almost surely, 2^{10111221011221} is an apocalyptic number.

10111221011221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10111221011221 is a deficient number, since it is larger than the sum of its proper divisors (1076398750955).

10111221011221 is a wasteful number, since it uses less digits than its factorization.

10111221011221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17793.

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

Adding to 10111221011221 its reverse (12211012211101), we get a palindrome (22322233222322).

The spelling of 10111221011221 in words is "ten trillion, one hundred eleven billion, two hundred twenty-one million, eleven thousand, two hundred twenty-one".