122101112011120 has 80 divisors (see below), whose sum is σ = 309694619713248. Its totient is φ = 44400146411520.

The previous prime is 122101112011103. The next prime is 122101112011141. The reversal of 122101112011120 is 21110211101221.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 122101112011094 and 122101112011103.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 218926852 + ... + 219483868.

Almost surely, 2^{122101112011120} is an apocalyptic number.

122101112011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122101112011120 is an abundant number, since it is smaller than the sum of its proper divisors (187593507702128).

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

122101112011120 is a wasteful number, since it uses less digits than its factorization.

122101112011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806138 (or 806132 counting only the distinct ones).

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

Adding to 122101112011120 its reverse (21110211101221), we get a palindrome (143211323112341).

The spelling of 122101112011120 in words is "one hundred twenty-two trillion, one hundred one billion, one hundred twelve million, eleven thousand, one hundred twenty".