10002020020100 has 72 divisors (see below), whose sum is σ = 22418906764800. Its totient is φ = 3869264332800.

The previous prime is 10002020020073. The next prime is 10002020020141. The reversal of 10002020020100 is 102002020001.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3798116 + ... + 5867684.

Almost surely, 2^{10002020020100} is an apocalyptic number.

10002020020100 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 10002020020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11209453382400).

10002020020100 is an abundant number, since it is smaller than the sum of its proper divisors (12416886744700).

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

10002020020100 is a wasteful number, since it uses less digits than its factorization.

10002020020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2071173 (or 2071166 counting only the distinct ones).

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

Adding to 10002020020100 its reverse (102002020001), we get a palindrome (10104022040101).

The spelling of 10002020020100 in words is "ten trillion, two billion, twenty million, twenty thousand, one hundred".