121221102201210 has 384 divisors, whose sum is σ = 377746111491840. Its totient is φ = 26648737689600.

The previous prime is 121221102201187. The next prime is 121221102201307. The reversal of 121221102201210 is 12102201122121.

121221102201210 is a `hidden beast` number, since 1 + 2 + 1 + 221 + 10 + 220 + 1 + 210 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 39391272 + ... + 42356988.

It is an arithmetic number, because the mean of its divisors is an integer number (983713832010).

Almost surely, 2^{121221102201210} is an apocalyptic number.

121221102201210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 121221102201210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188873055745920).

121221102201210 is an abundant number, since it is smaller than the sum of its proper divisors (256525009290630).

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

121221102201210 is a wasteful number, since it uses less digits than its factorization.

121221102201210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2965854 (or 2965851 counting only the distinct ones).

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

Adding to 121221102201210 its reverse (12102201122121), we get a palindrome (133323303323331).

The spelling of 121221102201210 in words is "one hundred twenty-one trillion, two hundred twenty-one billion, one hundred two million, two hundred one thousand, two hundred ten".