10021133200 has 240 divisors, whose sum is σ = 26766786816. Its totient is φ = 3582259200.

The previous prime is 10021133183. The next prime is 10021133207. The reversal of 10021133200 is 233112001.

It is a super-2 number, since 2×10021133200² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (10021133207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32016244 + ... + 32016556.

Almost surely, 2^10021133200 is an apocalyptic number.

10021133200 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 10021133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13383393408).

10021133200 is an abundant number, since it is smaller than the sum of its proper divisors (16745653616).

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

10021133200 is a wasteful number, since it uses less digits than its factorization.

10021133200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 10021133200 its reverse (233112001), we get a palindrome (10254245201).

The spelling of 10021133200 in words is "ten billion, twenty-one million, one hundred thirty-three thousand, two hundred".