10033211120 has 80 divisors (see below), whose sum is σ = 23517235872. Its totient is φ = 3980712960.

The previous prime is 10033211081. The next prime is 10033211129. The reversal of 10033211120 is 2111233001.

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

It is a junction number, because it is equal to n+sod(n) for n = 10033211095 and 10033211104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10033211129) 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, 11362199 + ... + 11363081.

Almost surely, 2^10033211120 is an apocalyptic number.

10033211120 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 10033211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11758617936).

10033211120 is an abundant number, since it is smaller than the sum of its proper divisors (13484024752).

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

10033211120 is a wasteful number, since it uses less digits than its factorization.

10033211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1890 (or 1884 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 10033211120 its reverse (2111233001), we get a palindrome (12144444121).

It can be divided in two parts, 1003 and 3211120, that added together give a palindrome (3212123).

The spelling of 10033211120 in words is "ten billion, thirty-three million, two hundred eleven thousand, one hundred twenty".