20121131110100 has 36 divisors (see below), whose sum is σ = 44070918593184. Its totient is φ = 7973233258080.

The previous prime is 20121131110081. The next prime is 20121131110147. The reversal of 20121131110100 is 101113112102.

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 11 ways as a sum of consecutive naturals, for example, 940229072 + ... + 940250471.

It is an arithmetic number, because the mean of its divisors is an integer number (1224192183144).

Almost surely, 2^{20121131110100} is an apocalyptic number.

20121131110100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20121131110100 is an abundant number, since it is smaller than the sum of its proper divisors (23949787483084).

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

20121131110100 is a wasteful number, since it uses less digits than its factorization.

20121131110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1880479664 (or 1880479657 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 20121131110100 its reverse (101113112102), we get a palindrome (20222244222202).

It can be divided in two parts, 2012113 and 1110100, that added together give a palindrome (3122213).

The spelling of 20121131110100 in words is "twenty trillion, one hundred twenty-one billion, one hundred thirty-one million, one hundred ten thousand, one hundred".