2000102233200 has 240 divisors, whose sum is σ = 6585217135200. Its totient is φ = 518720716800.

The previous prime is 2000102233169. The next prime is 2000102233201. The reversal of 2000102233200 is 23322010002.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×2000102233200³ (a number of 38 digits) contains 333 as substring.

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 2000102233200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000102233201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6361296 + ... + 6668304.

It is an arithmetic number, because the mean of its divisors is an integer number (27438404730).

Almost surely, 2^{2000102233200} is an apocalyptic number.

2000102233200 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 2000102233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3292608567600).

2000102233200 is an abundant number, since it is smaller than the sum of its proper divisors (4585114902000).

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

2000102233200 is a wasteful number, since it uses less digits than its factorization.

2000102233200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307180 (or 307169 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 2000102233200 its reverse (23322010002), we get a palindrome (2023424243202).

The spelling of 2000102233200 in words is "two trillion, one hundred two million, two hundred thirty-three thousand, two hundred".