10021000120020 has 72 divisors (see below), whose sum is σ = 30448817721504. Its totient is φ = 2667714257088.

The previous prime is 10021000119989. The next prime is 10021000120051. The reversal of 10021000120020 is 2002100012001.

It is an interprime number because it is at equal distance from previous prime (10021000119989) and next prime (10021000120051).

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

It is a junction number, because it is equal to n+sod(n) for n = 10021000119984 and 10021000120011.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 47315314 + ... + 47526633.

It is an arithmetic number, because the mean of its divisors is an integer number (422900246132).

Almost surely, 2^{10021000120020} is an apocalyptic number.

10021000120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10021000120020 is an abundant number, since it is smaller than the sum of its proper divisors (20427817601484).

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

10021000120020 is a wasteful number, since it uses less digits than its factorization.

10021000120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94842549 (or 94842544 counting only the distinct ones).

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

Adding to 10021000120020 its reverse (2002100012001), we get a palindrome (12023100132021).

The spelling of 10021000120020 in words is "ten trillion, twenty-one billion, one hundred twenty thousand, twenty".