10021617120020 has 48 divisors (see below), whose sum is σ = 23235223612608. Its totient is φ = 3600318082560.

The previous prime is 10021617120019. The next prime is 10021617120023. The reversal of 10021617120020 is 2002171612001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10021617120023) by changing a digit.

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, 274396229 + ... + 274432748.

It is an arithmetic number, because the mean of its divisors is an integer number (484067158596).

Almost surely, 2^{10021617120020} is an apocalyptic number.

10021617120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10021617120020 is an abundant number, since it is smaller than the sum of its proper divisors (13213606492588).

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

10021617120020 is a wasteful number, since it uses less digits than its factorization.

10021617120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548829080 (or 548829078 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 23.

Adding to 10021617120020 its reverse (2002171612001), we get a palindrome (12023788732021).

The spelling of 10021617120020 in words is "ten trillion, twenty-one billion, six hundred seventeen million, one hundred twenty thousand, twenty".