122101110120 has 128 divisors (see below), whose sum is σ = 408106045440. Its totient is φ = 28970461440.

The previous prime is 122101110083. The next prime is 122101110151. The reversal of 122101110120 is 21011101221.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 122101110096 and 122101110105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 922012 + ... + 1046091.

It is an arithmetic number, because the mean of its divisors is an integer number (3188328480).

Almost surely, 2^122101110120 is an apocalyptic number.

122101110120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122101110120 is an abundant number, since it is smaller than the sum of its proper divisors (286004935320).

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

122101110120 is a wasteful number, since it uses less digits than its factorization.

122101110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1968175 (or 1968171 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 122101110120 its reverse (21011101221), we get a palindrome (143112211341).

It can be divided in two parts, 122101 and 110120, that added together give a triangular number (232221 = T₆₈₁).

The spelling of 122101110120 in words is "one hundred twenty-two billion, one hundred one million, one hundred ten thousand, one hundred twenty".