20110120010020 has 48 divisors (see below), whose sum is σ = 42419433354480. Its totient is φ = 8008215228416.

The previous prime is 20110120010017. The next prime is 20110120010021. The reversal of 20110120010020 is 2001002101102.

It can be written as a sum of positive squares in 8 ways, for example, as 3725548508224 + 16384571501796 = 1930168^2 + 4047786^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 20110120009979 and 20110120010006.

It is not an unprimeable number, because it can be changed into a prime (20110120010021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28416636 + ... + 29115724.

It is an arithmetic number, because the mean of its divisors is an integer number (883738194885).

Almost surely, 2^{20110120010020} is an apocalyptic number.

20110120010020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20110120010020 is an abundant number, since it is smaller than the sum of its proper divisors (22309313344460).

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

20110120010020 is a wasteful number, since it uses less digits than its factorization.

20110120010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705504 (or 705502 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 20110120010020 its reverse (2001002101102), we get a palindrome (22111122111122).

The spelling of 20110120010020 in words is "twenty trillion, one hundred ten billion, one hundred twenty million, ten thousand, twenty".