20121320011100 has 432 divisors, whose sum is σ = 57089919823776. Its totient is φ = 6084191232000.

The previous prime is 20121320011097. The next prime is 20121320011103. The reversal of 20121320011100 is 111002312102.

It is an interprime number because it is at equal distance from previous prime (20121320011097) and next prime (20121320011103).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20121320011103) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 239974784 + ... + 240058616.

Almost surely, 2^{20121320011100} is an apocalyptic number.

20121320011100 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 20121320011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28544959911888).

20121320011100 is an abundant number, since it is smaller than the sum of its proper divisors (36968599812676).

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

20121320011100 is a wasteful number, since it uses less digits than its factorization.

20121320011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84006 (or 83992 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 20121320011100 its reverse (111002312102), we get a palindrome (20232322323202).

The spelling of 20121320011100 in words is "twenty trillion, one hundred twenty-one billion, three hundred twenty million, eleven thousand, one hundred".