121102121121100 has 144 divisors (see below), whose sum is σ = 300651127096320. Its totient is φ = 41476802054400.

The previous prime is 121102121121061. The next prime is 121102121121131. The reversal of 121102121121100 is 1121121201121.

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, 3394956265 + ... + 3394991935.

It is an arithmetic number, because the mean of its divisors is an integer number (2087855049280).

Almost surely, 2^{121102121121100} is an apocalyptic number.

121102121121100 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 121102121121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150325563548160).

121102121121100 is an abundant number, since it is smaller than the sum of its proper divisors (179549005975220).

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

121102121121100 is a wasteful number, since it uses less digits than its factorization.

121102121121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40688 (or 40681 counting only the distinct ones).

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

Adding to 121102121121100 its reverse (1121121201121), we get a palindrome (122223242322221).

The spelling of 121102121121100 in words is "one hundred twenty-one trillion, one hundred two billion, one hundred twenty-one million, one hundred twenty-one thousand, one hundred".