121331121121100 has 288 divisors, whose sum is σ = 308155528783872. Its totient is φ = 41020784640000.

The previous prime is 121331121120971. The next prime is 121331121121129. The reversal of 121331121121100 is 1121121133121.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 280892492 + ... + 281324108.

It is an arithmetic number, because the mean of its divisors is an integer number (1069984474944).

Almost surely, 2^{121331121121100} is an apocalyptic number.

121331121121100 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 121331121121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154077764391936).

121331121121100 is an abundant number, since it is smaller than the sum of its proper divisors (186824407662772).

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

121331121121100 is a wasteful number, since it uses less digits than its factorization.

121331121121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431977 (or 431970 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 20.

Adding to 121331121121100 its reverse (1121121133121), we get a palindrome (122452242254221).

The spelling of 121331121121100 in words is "one hundred twenty-one trillion, three hundred thirty-one billion, one hundred twenty-one million, one hundred twenty-one thousand, one hundred".