10211130120 has 32 divisors (see below), whose sum is σ = 30633390720. Its totient is φ = 2722968000.

The previous prime is 10211130103. The next prime is 10211130179. The reversal of 10211130120 is 2103111201.

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 = 10211130096 and 10211130105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42546256 + ... + 42546495.

It is an arithmetic number, because the mean of its divisors is an integer number (957293460).

Almost surely, 2^10211130120 is an apocalyptic number.

10211130120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10211130120 is an abundant number, since it is smaller than the sum of its proper divisors (20422260600).

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

10211130120 is a wasteful number, since it uses less digits than its factorization.

10211130120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85092765 (or 85092761 counting only the distinct ones).

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

Adding to 10211130120 its reverse (2103111201), we get a palindrome (12314241321).

It can be divided in two parts, 102111 and 30120, that added together give a palindrome (132231).

The spelling of 10211130120 in words is "ten billion, two hundred eleven million, one hundred thirty thousand, one hundred twenty".