111021101220211 has 24 divisors (see below), whose sum is σ = 137561962793760. Its totient is φ = 87732290969856.

The previous prime is 111021101220199. The next prime is 111021101220221. The reversal of 111021101220211 is 112022101120111.

It is not a de Polignac number, because 111021101220211 - 2¹⁵ = 111021101187443 is a prime.

It is a super-3 number, since 3×111021101220211³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (111021101220221) 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 23 ways as a sum of consecutive naturals, for example, 57044860 + ... + 58958953.

It is an arithmetic number, because the mean of its divisors is an integer number (5731748449740).

Almost surely, 2^{111021101220211} is an apocalyptic number.

111021101220211 is a deficient number, since it is larger than the sum of its proper divisors (26540861573549).

111021101220211 is a wasteful number, since it uses less digits than its factorization.

111021101220211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116004655 (or 116004642 counting only the distinct ones).

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

Adding to 111021101220211 its reverse (112022101120111), we get a palindrome (223043202340322).

It can be divided in two parts, 11102110 and 1220211, that added together give a palindrome (12322321).

The spelling of 111021101220211 in words is "one hundred eleven trillion, twenty-one billion, one hundred one million, two hundred twenty thousand, two hundred eleven".