20121101000000 has 784 divisors, whose sum is σ = 67014184707456. Its totient is φ = 5788800000000.

The previous prime is 20121100999999. The next prime is 20121101000131. The reversal of 20121101000000 is 10112102.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1000989950 + ... + 1001010050.

Almost surely, 2^{20121101000000} is an apocalyptic number.

20121101000000 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 20121101000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33507092353728).

20121101000000 is an abundant number, since it is smaller than the sum of its proper divisors (46893083707456).

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

20121101000000 is an equidigital number, since it uses as much as digits as its factorization.

20121101000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20174 (or 20139 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 20121101000000 its reverse (10112102), we get a palindrome (20121111112102).

The spelling of 20121101000000 in words is "twenty trillion, one hundred twenty-one billion, one hundred one million", and thus it is an aban number.