121210022102112 has 240 divisors, whose sum is σ = 357001886823120. Its totient is φ = 40343695515648.

The previous prime is 121210022102003. The next prime is 121210022102161. The reversal of 121210022102112 is 211201220012121.

121210022102112 is a `hidden beast` number, since 1 + 21 + 210 + 0 + 221 + 0 + 211 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6627473064 + ... + 6627491352.

It is an arithmetic number, because the mean of its divisors is an integer number (1487507861763).

Almost surely, 2^{121210022102112} is an apocalyptic number.

121210022102112 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 121210022102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178500943411560).

121210022102112 is an abundant number, since it is smaller than the sum of its proper divisors (235791864721008).

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

121210022102112 is a wasteful number, since it uses less digits than its factorization.

121210022102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21947 (or 21930 counting only the distinct ones).

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

Adding to 121210022102112 its reverse (211201220012121), we get a palindrome (332411242114233).

The spelling of 121210022102112 in words is "one hundred twenty-one trillion, two hundred ten billion, twenty-two million, one hundred two thousand, one hundred twelve".