20121110100020 has 24 divisors (see below), whose sum is σ = 42254852756424. Its totient is φ = 8048344697856.

The previous prime is 20121110100001. The next prime is 20121110100031. The reversal of 20121110100020 is 2000101112102.

It can be written as a sum of positive squares in 4 ways, for example, as 135310679716 + 19985799420304 = 367846^2 + 4470548^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20121110099974 and 20121110100010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4537049 + ... + 7799168.

It is an arithmetic number, because the mean of its divisors is an integer number (1760618864851).

Almost surely, 2^{20121110100020} is an apocalyptic number.

20121110100020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20121110100020 is an abundant number, since it is smaller than the sum of its proper divisors (22133742656404).

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

20121110100020 is a wasteful number, since it uses less digits than its factorization.

20121110100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12417779 (or 12417777 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 20121110100020 its reverse (2000101112102), we get a palindrome (22121211212122).

The spelling of 20121110100020 in words is "twenty trillion, one hundred twenty-one billion, one hundred ten million, one hundred thousand, twenty".