20121133302100 has 288 divisors, whose sum is σ = 48701682892800. Its totient is φ = 7180941081600.

The previous prime is 20121133302097. The next prime is 20121133302131. The reversal of 20121133302100 is 120333112102.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

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, 1266986160 + ... + 1267002040.

It is an arithmetic number, because the mean of its divisors is an integer number (169103065600).

Almost surely, 2^{20121133302100} is an apocalyptic number.

20121133302100 is a gapful number since it is divisible by the number (20) 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 20121133302100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24350841446400).

20121133302100 is an abundant number, since it is smaller than the sum of its proper divisors (28580549590700).

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

20121133302100 is a wasteful number, since it uses less digits than its factorization.

20121133302100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16383 (or 16376 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 20121133302100 its reverse (120333112102), we get a palindrome (20241466414202).

The spelling of 20121133302100 in words is "twenty trillion, one hundred twenty-one billion, one hundred thirty-three million, three hundred two thousand, one hundred".