21000022333200 has 1440 divisors, whose sum is σ = 77673379335552. Its totient is φ = 5248696320000.

The previous prime is 21000022333177. The next prime is 21000022333223. The reversal of 21000022333200 is 233322000012.

It is a happy number.

21000022333200 is a `hidden beast` number, since 210 + 0 + 0 + 0 + 223 + 33 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (21000022333177) and next prime (21000022333223).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 92511111487 + ... + 92511111713.

Almost surely, 2^{21000022333200} is an apocalyptic number.

21000022333200 is a gapful number since it is divisible by the number (20) 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 21000022333200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38836689667776).

21000022333200 is an abundant number, since it is smaller than the sum of its proper divisors (56673357002352).

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

21000022333200 is a wasteful number, since it uses less digits than its factorization.

21000022333200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 21000022333200 its reverse (233322000012), we get a palindrome (21233344333212).

The spelling of 21000022333200 in words is "twenty-one trillion, twenty-two million, three hundred thirty-three thousand, two hundred".