121102002112 has 112 divisors (see below), whose sum is σ = 296922870720. Its totient is φ = 47721480192.

The previous prime is 121102002101. The next prime is 121102002149. The reversal of 121102002112 is 211200201121.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 121102002092 and 121102002101.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1456314 + ... + 1537222.

It is an arithmetic number, because the mean of its divisors is an integer number (2651097060).

Almost surely, 2^121102002112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121102002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148461435360).

121102002112 is an abundant number, since it is smaller than the sum of its proper divisors (175820868608).

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

121102002112 is a wasteful number, since it uses less digits than its factorization.

121102002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81198 (or 81188 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 121102002112 its reverse (211200201121), we get a palindrome (332302203233).

The spelling of 121102002112 in words is "one hundred twenty-one billion, one hundred two million, two thousand, one hundred twelve".