121220121001100 has 288 divisors, whose sum is σ = 295228050070464. Its totient is φ = 42819840000000.

The previous prime is 121220121001099. The next prime is 121220121001159. The reversal of 121220121001100 is 1100121022121.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10272015200 + ... + 10272027000.

It is an arithmetic number, because the mean of its divisors is an integer number (1025097396078).

Almost surely, 2^{121220121001100} is an apocalyptic number.

121220121001100 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 121220121001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147614025035232).

121220121001100 is an abundant number, since it is smaller than the sum of its proper divisors (174007929069364).

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

121220121001100 is a wasteful number, since it uses less digits than its factorization.

121220121001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12829 (or 12822 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 121220121001100 its reverse (1100121022121), we get a palindrome (122320242023221).

The spelling of 121220121001100 in words is "one hundred twenty-one trillion, two hundred twenty billion, one hundred twenty-one million, one thousand, one hundred".