221121010221111 has 96 divisors (see below), whose sum is σ = 428848869915648. Its totient is φ = 106030044472320.

The previous prime is 221121010221091. The next prime is 221121010221121. The reversal of 221121010221111 is 111122010121122.

It is a happy number.

221121010221111 is a `hidden beast` number, since 2 + 211 + 210 + 10 + 221 + 1 + 11 = 666.

It is not a de Polignac number, because 221121010221111 - 2¹⁹ = 221121009696823 is a prime.

It is a super-4 number, since 4×221121010221111⁴ (a number of 58 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221121010221121) 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 95 ways as a sum of consecutive naturals, for example, 546887455 + ... + 547291631.

It is an arithmetic number, because the mean of its divisors is an integer number (4467175728288).

Almost surely, 2^{221121010221111} is an apocalyptic number.

221121010221111 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

221121010221111 is a deficient number, since it is larger than the sum of its proper divisors (207727859694537).

221121010221111 is a wasteful number, since it uses less digits than its factorization.

221121010221111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464941 (or 464938 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 221121010221111 its reverse (111122010121122), we get a palindrome (332243020342233).

The spelling of 221121010221111 in words is "two hundred twenty-one trillion, one hundred twenty-one billion, ten million, two hundred twenty-one thousand, one hundred eleven".