20100120020010 has 64 divisors (see below), whose sum is σ = 53607130387200. Its totient is φ = 5359350972096.

The previous prime is 20100120019963. The next prime is 20100120020017. The reversal of 20100120020010 is 1002002100102.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 20100120019974 and 20100120020001.

It is not an unprimeable number, because it can be changed into a prime (20100120020017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2598670 + ... + 6852249.

It is an arithmetic number, because the mean of its divisors is an integer number (837611412300).

Almost surely, 2^{20100120020010} is an apocalyptic number.

20100120020010 is an abundant number, since it is smaller than the sum of its proper divisors (33507010367190).

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

20100120020010 is a wasteful number, since it uses less digits than its factorization.

20100120020010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9458812 (or 9458806 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 20100120020010 its reverse (1002002100102), we get a palindrome (21102122120112).

The spelling of 20100120020010 in words is "twenty trillion, one hundred billion, one hundred twenty million, twenty thousand, ten".