10102002020 has 72 divisors (see below), whose sum is σ = 23412400704. Its totient is φ = 3658600000.

The previous prime is 10102002019. The next prime is 10102002037. The reversal of 10102002020 is 2020020101.

It is a junction number, because it is equal to n+sod(n) for n = 10102001989 and 10102002007.

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, 599105 + ... + 615735.

It is an arithmetic number, because the mean of its divisors is an integer number (325172232).

Almost surely, 2^10102002020 is an apocalyptic number.

10102002020 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 10102002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11706200352).

10102002020 is an abundant number, since it is smaller than the sum of its proper divisors (13310398684).

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

10102002020 is a wasteful number, since it uses less digits than its factorization.

10102002020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16913 (or 16900 counting only the distinct ones).

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

Adding to 10102002020 its reverse (2020020101), we get a palindrome (12122022121).

The spelling of 10102002020 in words is "ten billion, one hundred two million, two thousand, twenty".