10100202020 has 48 divisors (see below), whose sum is σ = 22366344000. Its totient is φ = 3820659840.

The previous prime is 10100202019. The next prime is 10100202053. The reversal of 10100202020 is 2020200101.

10100202020 is a modest number, since divided by 202020 gives 10100 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 10100201989 and 10100202007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193706 + ... + 240254.

It is an arithmetic number, because the mean of its divisors is an integer number (465965500).

Almost surely, 2^10100202020 is an apocalyptic number.

10100202020 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 10100202020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11183172000).

10100202020 is an abundant number, since it is smaller than the sum of its proper divisors (12266141980).

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

10100202020 is a wasteful number, since it uses less digits than its factorization.

10100202020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47148 (or 47146 counting only the distinct ones).

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

Adding to 10100202020 its reverse (2020200101), we get a palindrome (12120402121).

The spelling of 10100202020 in words is "ten billion, one hundred million, two hundred two thousand, twenty".