122113321000110 has 192 divisors, whose sum is σ = 357207193175040. Its totient is φ = 28682624759040.

The previous prime is 122113321000057. The next prime is 122113321000183. The reversal of 122113321000110 is 11000123311221.

122113321000110 is a `hidden beast` number, since 1 + 2 + 211 + 332 + 10 + 0 + 0 + 110 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1780309 + ... + 15728831.

It is an arithmetic number, because the mean of its divisors is an integer number (1860454131120).

Almost surely, 2^{122113321000110} is an apocalyptic number.

122113321000110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122113321000110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178603596587520).

122113321000110 is an abundant number, since it is smaller than the sum of its proper divisors (235093872174930).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122113321000110 is a wasteful number, since it uses less digits than its factorization.

122113321000110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13948823 (or 13948820 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 122113321000110 its reverse (11000123311221), we get a palindrome (133113444311331).

The spelling of 122113321000110 in words is "one hundred twenty-two trillion, one hundred thirteen billion, three hundred twenty-one million, one hundred ten", and thus it is an aban number.