10212133152 has 96 divisors (see below), whose sum is σ = 28907952192. Its totient is φ = 3137946624.

The previous prime is 10212133103. The next prime is 10212133153. The reversal of 10212133152 is 25133121201.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (10212133153) by changing a digit.

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, 989523 + ... + 999789.

It is an arithmetic number, because the mean of its divisors is an integer number (301124502).

Almost surely, 2^10212133152 is an apocalyptic number.

10212133152 is a gapful number since it is divisible by the number (12) 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 10212133152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14453976096).

10212133152 is an abundant number, since it is smaller than the sum of its proper divisors (18695819040).

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

10212133152 is a wasteful number, since it uses less digits than its factorization.

10212133152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11090 (or 11082 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

Adding to 10212133152 its reverse (25133121201), we get a palindrome (35345254353).

The spelling of 10212133152 in words is "ten billion, two hundred twelve million, one hundred thirty-three thousand, one hundred fifty-two".