10021120110020 has 48 divisors (see below), whose sum is σ = 21057374359728. Its totient is φ = 4005968240640.

The previous prime is 10021120110013. The next prime is 10021120110049. The reversal of 10021120110020 is 2001102112001.

It can be written as a sum of positive squares in 8 ways, for example, as 2403696748996 + 7617423361024 = 1550386^2 + 2759968^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10021120109983 and 10021120110010.

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 15 ways as a sum of consecutive naturals, for example, 374790092 + ... + 374816828.

It is an arithmetic number, because the mean of its divisors is an integer number (438695299161).

Almost surely, 2^{10021120110020} is an apocalyptic number.

10021120110020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10021120110020 is an abundant number, since it is smaller than the sum of its proper divisors (11036254249708).

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

10021120110020 is a wasteful number, since it uses less digits than its factorization.

10021120110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37640 (or 37638 counting only the distinct ones).

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

Adding to 10021120110020 its reverse (2001102112001), we get a palindrome (12022222222021).

The spelling of 10021120110020 in words is "ten trillion, twenty-one billion, one hundred twenty million, one hundred ten thousand, twenty".