122121011111011 has 8 divisors (see below), whose sum is σ = 141059563636464. Its totient is φ = 104488565656320.

The previous prime is 122121011111009. The next prime is 122121011111059. The reversal of 122121011111011 is 110111110121221.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 122121011111011 - 2¹ = 122121011111009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122121011111611) 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 7 ways as a sum of consecutive naturals, for example, 326526767490 + ... + 326526767863.

It is an arithmetic number, because the mean of its divisors is an integer number (17632445454558).

Almost surely, 2^{122121011111011} is an apocalyptic number.

122121011111011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

122121011111011 is a deficient number, since it is larger than the sum of its proper divisors (18938552525453).

122121011111011 is a wasteful number, since it uses less digits than its factorization.

122121011111011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653053535381.

The product of its (nonzero) digits is 8, while the sum is 16.

Adding to 122121011111011 its reverse (110111110121221), we get a palindrome (232232121232232).

The spelling of 122121011111011 in words is "one hundred twenty-two trillion, one hundred twenty-one billion, eleven million, one hundred eleven thousand, eleven".