121221122110002 has 48 divisors (see below), whose sum is σ = 273802547416320. Its totient is φ = 38716423524000.

The previous prime is 121221122109959. The next prime is 121221122110007. The reversal of 121221122110002 is 200011221122121.

121221122110002 is a `hidden beast` number, since 121 + 221 + 1 + 221 + 100 + 0 + 2 = 666.

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 (121221122110007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1075399852 + ... + 1075512567.

It is an arithmetic number, because the mean of its divisors is an integer number (5704219737840).

Almost surely, 2^{121221122110002} is an apocalyptic number.

121221122110002 is an abundant number, since it is smaller than the sum of its proper divisors (152581425306318).

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

121221122110002 is a wasteful number, since it uses less digits than its factorization.

121221122110002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2150912559 (or 2150912556 counting only the distinct ones).

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

Adding to 121221122110002 its reverse (200011221122121), we get a palindrome (321232343232123).

The spelling of 121221122110002 in words is "one hundred twenty-one trillion, two hundred twenty-one billion, one hundred twenty-two million, one hundred ten thousand, two".