10200211120 has 80 divisors (see below), whose sum is σ = 26996343552. Its totient is φ = 3547892480.

The previous prime is 10200211079. The next prime is 10200211129. The reversal of 10200211120 is 2111200201.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10200211097 and 10200211106.

It is not an unprimeable number, because it can be changed into a prime (10200211129) 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, 231742 + ... + 272221.

Almost surely, 2^10200211120 is an apocalyptic number.

10200211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10200211120 is an abundant number, since it is smaller than the sum of its proper divisors (16796132432).

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

10200211120 is a wasteful number, since it uses less digits than its factorization.

10200211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504010 (or 504004 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10200211120 its reverse (2111200201), we get a palindrome (12311411321).

The spelling of 10200211120 in words is "ten billion, two hundred million, two hundred eleven thousand, one hundred twenty".