121112102112 has 48 divisors (see below), whose sum is σ = 317937730320. Its totient is φ = 40368356352.

The previous prime is 121112102101. The next prime is 121112102113. The reversal of 121112102112 is 211201211121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 121112102091 and 121112102100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121112102113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2633814 + ... + 2679402.

It is an arithmetic number, because the mean of its divisors is an integer number (6623702715).

Almost surely, 2^121112102112 is an apocalyptic number.

121112102112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121112102112 is an abundant number, since it is smaller than the sum of its proper divisors (196825628208).

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

121112102112 is a wasteful number, since it uses less digits than its factorization.

121112102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73275 (or 73267 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 121112102112 its reverse (211201211121), we get a palindrome (332313313233).

The spelling of 121112102112 in words is "one hundred twenty-one billion, one hundred twelve million, one hundred two thousand, one hundred twelve".