10021002102020 has 144 divisors (see below), whose sum is σ = 26373396123648. Its totient is φ = 3170224592640.

The previous prime is 10021002101987. The next prime is 10021002102043. The reversal of 10021002102020 is 2020120012001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10021002101992 and 10021002102010.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32243165 + ... + 32552475.

It is an arithmetic number, because the mean of its divisors is an integer number (183148584192).

Almost surely, 2^{10021002102020} is an apocalyptic number.

10021002102020 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 10021002102020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13186698061824).

10021002102020 is an abundant number, since it is smaller than the sum of its proper divisors (16352394021628).

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

10021002102020 is a wasteful number, since it uses less digits than its factorization.

10021002102020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311890 (or 311881 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10021002102020 its reverse (2020120012001), we get a palindrome (12041122114021).

The spelling of 10021002102020 in words is "ten trillion, twenty-one billion, two million, one hundred two thousand, twenty".