10212133200 has 120 divisors (see below), whose sum is σ = 33597144288. Its totient is φ = 2649623040.

The previous prime is 10212133199. The next prime is 10212133201. The reversal of 10212133200 is 233121201.

It is an interprime number because it is at equal distance from previous prime (10212133199) and next prime (10212133201).

It is a tau number, because it is divible by the number of its divisors (120).

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 10212133200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10212133201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70602 + ... + 159401.

Almost surely, 2^10212133200 is an apocalyptic number.

10212133200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10212133200 is an abundant number, since it is smaller than the sum of its proper divisors (23385011088).

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

10212133200 is a wasteful number, since it uses less digits than its factorization.

10212133200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230061 (or 230050 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10212133200 its reverse (233121201), we get a palindrome (10445254401).

The spelling of 10212133200 in words is "ten billion, two hundred twelve million, one hundred thirty-three thousand, two hundred".