122101101122120 has 96 divisors (see below), whose sum is σ = 278922365326080. Its totient is φ = 48105738046080.

The previous prime is 122101101122113. The next prime is 122101101122243. The reversal of 122101101122120 is 21221101101221.

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 23 ways as a sum of consecutive naturals, for example, 1704168137 + ... + 1704239783.

It is an arithmetic number, because the mean of its divisors is an integer number (2905441305480).

Almost surely, 2^{122101101122120} is an apocalyptic number.

122101101122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122101101122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139461182663040).

122101101122120 is an abundant number, since it is smaller than the sum of its proper divisors (156821264203960).

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

122101101122120 is an equidigital number, since it uses as much as digits as its factorization.

122101101122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81283 (or 81212 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 122101101122120 its reverse (21221101101221), we get a palindrome (143322202223341).

The spelling of 122101101122120 in words is "one hundred twenty-two trillion, one hundred one billion, one hundred one million, one hundred twenty-two thousand, one hundred twenty".