10200210120 has 160 divisors (see below), whose sum is σ = 36300943800. Its totient is φ = 2560038912.

The previous prime is 10200210113. The next prime is 10200210121. The reversal of 10200210120 is 2101200201.

It can be written as a sum of positive squares in 4 ways, for example, as 10186057476 + 14152644 = 100926^2 + 3762^2 .

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

It is not an unprimeable number, because it can be changed into a prime (10200210121) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 37515 + ... + 147674.

Almost surely, 2^10200210120 is an apocalyptic number.

10200210120 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 10200210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18150471900).

10200210120 is an abundant number, since it is smaller than the sum of its proper divisors (26100733680).

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

10200210120 is a wasteful number, since it uses less digits than its factorization.

10200210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185229 (or 185216 counting only the distinct ones).

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

Adding to 10200210120 its reverse (2101200201), we get a palindrome (12301410321).

The spelling of 10200210120 in words is "ten billion, two hundred million, two hundred ten thousand, one hundred twenty".