10211133120 has 112 divisors (see below), whose sum is σ = 32447788800. Its totient is φ = 2720664576.

The previous prime is 10211133109. The next prime is 10211133139. The reversal of 10211133120 is 2133111201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10211133120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1339239 + ... + 1346841.

It is an arithmetic number, because the mean of its divisors is an integer number (289712400).

Almost surely, 2^10211133120 is an apocalyptic number.

10211133120 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 10211133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16223894400).

10211133120 is an abundant number, since it is smaller than the sum of its proper divisors (22236655680).

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

10211133120 is a wasteful number, since it uses less digits than its factorization.

10211133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9022 (or 9012 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 10211133120 its reverse (2133111201), we get a palindrome (12344244321).

The spelling of 10211133120 in words is "ten billion, two hundred eleven million, one hundred thirty-three thousand, one hundred twenty".