20121121102120 has 16 divisors (see below), whose sum is σ = 45272522479860. Its totient is φ = 8048448440832.

The previous prime is 20121121102109. The next prime is 20121121102123. The reversal of 20121121102120 is 2120112112102.

It can be written as a sum of positive squares in 2 ways, for example, as 17665024068484 + 2456097033636 = 4202978^2 + 1567194^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20121121102094 and 20121121102103.

It is not an unprimeable number, because it can be changed into a prime (20121121102123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 251514013737 + ... + 251514013816.

Almost surely, 2^{20121121102120} is an apocalyptic number.

20121121102120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20121121102120 is an abundant number, since it is smaller than the sum of its proper divisors (25151401377740).

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

20121121102120 is a wasteful number, since it uses less digits than its factorization.

20121121102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503028027564 (or 503028027560 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 20121121102120 its reverse (2120112112102), we get a palindrome (22241233214222).

The spelling of 20121121102120 in words is "twenty trillion, one hundred twenty-one billion, one hundred twenty-one million, one hundred two thousand, one hundred twenty".