122111011011 has 32 divisors (see below), whose sum is σ = 179512505856. Its totient is φ = 73217600000.

The previous prime is 122111010997. The next prime is 122111011019. The reversal of 122111011011 is 110110111221.

It is a cyclic number.

It is not a de Polignac number, because 122111011011 - 2⁹ = 122111010499 is a prime.

It is a super-2 number, since 2×122111011011² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122111011019) 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 31 ways as a sum of consecutive naturals, for example, 4542811 + ... + 4569611.

It is an arithmetic number, because the mean of its divisors is an integer number (5609765808).

Almost surely, 2^122111011011 is an apocalyptic number.

122111011011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

122111011011 is a deficient number, since it is larger than the sum of its proper divisors (57401494845).

122111011011 is a wasteful number, since it uses less digits than its factorization.

122111011011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28283.

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

Adding to 122111011011 its reverse (110110111221), we get a palindrome (232221122232).

It can be divided in two parts, 1221 and 11011011, that multiplied together give a palindrome (13444444431).

The spelling of 122111011011 in words is "one hundred twenty-two billion, one hundred eleven million, eleven thousand, eleven".