10200213120 has 64 divisors (see below), whose sum is σ = 32513185440. Its totient is φ = 2720056320.

The previous prime is 10200213113. The next prime is 10200213151. The reversal of 10200213120 is 2131200201.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10200213096 and 10200213105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2654386 + ... + 2658225.

Almost surely, 2^10200213120 is an apocalyptic number.

10200213120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10200213120 is an abundant number, since it is smaller than the sum of its proper divisors (22312972320).

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

10200213120 is an equidigital number, since it uses as much as digits as its factorization.

10200213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5312633 (or 5312621 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10200213120 its reverse (2131200201), we get a palindrome (12331413321).

The spelling of 10200213120 in words is "ten billion, two hundred million, two hundred thirteen thousand, one hundred twenty".