122010031331111 has 128 divisors (see below), whose sum is σ = 158358004439040. Its totient is φ = 91278743961600.

The previous prime is 122010031331107. The next prime is 122010031331131. The reversal of 122010031331111 is 111133130010221.

It is a cyclic number.

It is not a de Polignac number, because 122010031331111 - 2² = 122010031331107 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122010031331131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13834901060 + ... + 13834909878.

It is an arithmetic number, because the mean of its divisors is an integer number (1237171909680).

Almost surely, 2^{122010031331111} is an apocalyptic number.

122010031331111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

122010031331111 is a deficient number, since it is larger than the sum of its proper divisors (36347973107929).

122010031331111 is a wasteful number, since it uses less digits than its factorization.

122010031331111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9385.

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 122010031331111 its reverse (111133130010221), we get a palindrome (233143161341332).

The spelling of 122010031331111 in words is "one hundred twenty-two trillion, ten billion, thirty-one million, three hundred thirty-one thousand, one hundred eleven".