10221002020020 has 384 divisors, whose sum is σ = 31620476160000. Its totient is φ = 2446354483200.

The previous prime is 10221002019931. The next prime is 10221002020027. The reversal of 10221002020020 is 2002020012201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10221002019978 and 10221002020005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221002020027) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16512119271 + ... + 16512119889.

It is an arithmetic number, because the mean of its divisors is an integer number (82344990000).

Almost surely, 2^{10221002020020} is an apocalyptic number.

10221002020020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10221002020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15810238080000).

10221002020020 is an abundant number, since it is smaller than the sum of its proper divisors (21399474139980).

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

10221002020020 is a wasteful number, since it uses less digits than its factorization.

10221002020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1599 (or 1597 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10221002020020 its reverse (2002020012201), we get a palindrome (12223022032221).

The spelling of 10221002020020 in words is "ten trillion, two hundred twenty-one billion, two million, twenty thousand, twenty".