111211001121 has 48 divisors (see below), whose sum is σ = 167904491328. Its totient is φ = 64927008000.

The previous prime is 111211001113. The next prime is 111211001123. The reversal of 111211001121 is 121100112111.

It is not a de Polignac number, because 111211001121 - 2³ = 111211001113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 111211001097 and 111211001106.

It is not an unprimeable number, because it can be changed into a prime (111211001123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4550691 + ... + 4575063.

It is an arithmetic number, because the mean of its divisors is an integer number (3498010236).

Almost surely, 2^111211001121 is an apocalyptic number.

111211001121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

111211001121 is a deficient number, since it is larger than the sum of its proper divisors (56693490207).

111211001121 is a wasteful number, since it uses less digits than its factorization.

111211001121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24562 (or 24525 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 111211001121 its reverse (121100112111), we get a palindrome (232311113232).

It can be divided in two parts, 11 and 1211001121, that multiplied together give a palindrome (13321012331).

The spelling of 111211001121 in words is "one hundred eleven billion, two hundred eleven million, one thousand, one hundred twenty-one".