10211332311120 has 160 divisors (see below), whose sum is σ = 32804250393600. Its totient is φ = 2624503017472.

The previous prime is 10211332311083. The next prime is 10211332311121. The reversal of 10211332311120 is 2111323311201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211332311121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2671009 + ... + 5249471.

It is an arithmetic number, because the mean of its divisors is an integer number (205026564960).

Almost surely, 2^{10211332311120} is an apocalyptic number.

10211332311120 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 10211332311120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16402125196800).

10211332311120 is an abundant number, since it is smaller than the sum of its proper divisors (22592918082480).

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

10211332311120 is a wasteful number, since it uses less digits than its factorization.

10211332311120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2579077 (or 2579071 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 10211332311120 its reverse (2111323311201), we get a palindrome (12322655622321).

The spelling of 10211332311120 in words is "ten trillion, two hundred eleven billion, three hundred thirty-two million, three hundred eleven thousand, one hundred twenty".