10200112020 has 288 divisors, whose sum is σ = 37002341376. Its totient is φ = 2225664000.

The previous prime is 10200112007. The next prime is 10200112031. The reversal of 10200112020 is 2021100201.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10200111993 and 10200112011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2425920 + ... + 2430120.

It is an arithmetic number, because the mean of its divisors is an integer number (128480352).

Almost surely, 2^10200112020 is an apocalyptic number.

10200112020 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 10200112020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18501170688).

10200112020 is an abundant number, since it is smaller than the sum of its proper divisors (26802229356).

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

10200112020 is a wasteful number, since it uses less digits than its factorization.

10200112020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4311 (or 4306 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10200112020 its reverse (2021100201), we get a palindrome (12221212221).

The spelling of 10200112020 in words is "ten billion, two hundred million, one hundred twelve thousand, twenty".