121220102102112 has 72 divisors (see below), whose sum is σ = 371236562699184. Its totient is φ = 37298492953344.

The previous prime is 121220102102017. The next prime is 121220102102119. The reversal of 121220102102112 is 211201201022121.

121220102102112 is a `hidden beast` number, since 1 + 21 + 220 + 1 + 0 + 210 + 211 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121220102102119) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16188578268 + ... + 16188585755.

It is an arithmetic number, because the mean of its divisors is an integer number (5156063370822).

Almost surely, 2^{121220102102112} is an apocalyptic number.

121220102102112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121220102102112 is an abundant number, since it is smaller than the sum of its proper divisors (250016460597072).

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

121220102102112 is a wasteful number, since it uses less digits than its factorization.

121220102102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32377164052 (or 32377164041 counting only the distinct ones).

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

Adding to 121220102102112 its reverse (211201201022121), we get a palindrome (332421303124233).

The spelling of 121220102102112 in words is "one hundred twenty-one trillion, two hundred twenty billion, one hundred two million, one hundred two thousand, one hundred twelve".