121121212102100 has 144 divisors (see below), whose sum is σ = 301044707822208. Its totient is φ = 41435540098560.

The previous prime is 121121212102067. The next prime is 121121212102307. The reversal of 121121212102100 is 1201212121121.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 749556914 + ... + 749718486.

Almost surely, 2^{121121212102100} is an apocalyptic number.

121121212102100 is a gapful number since it is divisible by the number (10) 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 121121212102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150522353911104).

121121212102100 is an abundant number, since it is smaller than the sum of its proper divisors (179923495720108).

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

121121212102100 is a wasteful number, since it uses less digits than its factorization.

121121212102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163954 (or 163947 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 121121212102100 its reverse (1201212121121), we get a palindrome (122322424223221).

The spelling of 121121212102100 in words is "one hundred twenty-one trillion, one hundred twenty-one billion, two hundred twelve million, one hundred two thousand, one hundred".