121102012202112 has 192 divisors, whose sum is σ = 350167966780320. Its totient is φ = 40172267520000.

The previous prime is 121102012202089. The next prime is 121102012202117. The reversal of 121102012202112 is 211202210201121.

121102012202112 is a `hidden beast` number, since 1 + 21 + 10 + 201 + 220 + 211 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (121102012202117) by changing a digit.

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, 4047376912 + ... + 4047406832.

Almost surely, 2^{121102012202112} is an apocalyptic number.

121102012202112 is a gapful number since it is divisible by the number (12) 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 121102012202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175083983390160).

121102012202112 is an abundant number, since it is smaller than the sum of its proper divisors (229065954578208).

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

121102012202112 is a wasteful number, since it uses less digits than its factorization.

121102012202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46803 (or 46788 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 121102012202112 its reverse (211202210201121), we get a palindrome (332304222403233).

The spelling of 121102012202112 in words is "one hundred twenty-one trillion, one hundred two billion, twelve million, two hundred two thousand, one hundred twelve".