111022111001121 has 128 divisors (see below), whose sum is σ = 165603122872320. Its totient is φ = 65868240960000.

The previous prime is 111022111001101. The next prime is 111022111001167. The reversal of 111022111001121 is 121100111220111.

It is not a de Polignac number, because 111022111001121 - 2¹³ = 111022110992929 is a prime.

It is a super-2 number, since 2×111022111001121² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 111022111001121.

It is not an unprimeable number, because it can be changed into a prime (111022111001101) 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 127 ways as a sum of consecutive naturals, for example, 16158068316 + ... + 16158075186.

It is an arithmetic number, because the mean of its divisors is an integer number (1293774397440).

Almost surely, 2^{111022111001121} is an apocalyptic number.

It is an amenable number.

111022111001121 is a deficient number, since it is larger than the sum of its proper divisors (54581011871199).

111022111001121 is a wasteful number, since it uses less digits than its factorization.

111022111001121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8059.

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 111022111001121 its reverse (121100111220111), we get a palindrome (232122222221232).

The spelling of 111022111001121 in words is "one hundred eleven trillion, twenty-two billion, one hundred eleven million, one thousand, one hundred twenty-one".