10200200120 has 64 divisors (see below), whose sum is σ = 25094361600. Its totient is φ = 3700644480.

The previous prime is 10200200093. The next prime is 10200200123. The reversal of 10200200120 is 2100200201.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 10200200098 and 10200200107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10200200123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166757 + ... + 219563.

It is an arithmetic number, because the mean of its divisors is an integer number (392099400).

Almost surely, 2^10200200120 is an apocalyptic number.

10200200120 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 10200200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12547180800).

10200200120 is an abundant number, since it is smaller than the sum of its proper divisors (14894161480).

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

10200200120 is a wasteful number, since it uses less digits than its factorization.

10200200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53268 (or 53264 counting only the distinct ones).

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

Adding to 10200200120 its reverse (2100200201), we get a palindrome (12300400321).

The spelling of 10200200120 in words is "ten billion, two hundred million, two hundred thousand, one hundred twenty".