10211233120 has 96 divisors (see below), whose sum is σ = 26338991616. Its totient is φ = 3710092800.

The previous prime is 10211233093. The next prime is 10211233121. The reversal of 10211233120 is 2133211201.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 10211233094 and 10211233103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211233121) 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, 4171737 + ... + 4174183.

It is an arithmetic number, because the mean of its divisors is an integer number (274364496).

Almost surely, 2^10211233120 is an apocalyptic number.

10211233120 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 10211233120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13169495808).

10211233120 is an abundant number, since it is smaller than the sum of its proper divisors (16127758496).

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

10211233120 is a wasteful number, since it uses less digits than its factorization.

10211233120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4844 (or 4836 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10211233120 its reverse (2133211201), we get a palindrome (12344444321).

The spelling of 10211233120 in words is "ten billion, two hundred eleven million, two hundred thirty-three thousand, one hundred twenty".