102100322233200 has 240 divisors, whose sum is σ = 330356240847360. Its totient is φ = 26952656778240.

The previous prime is 102100322233193. The next prime is 102100322233201. The reversal of 102100322233200 is 2332223001201.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102100322233201) 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, 344572309 + ... + 344868491.

It is an arithmetic number, because the mean of its divisors is an integer number (1376484336864).

Almost surely, 2^{102100322233200} is an apocalyptic number.

102100322233200 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 102100322233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165178120423680).

102100322233200 is an abundant number, since it is smaller than the sum of its proper divisors (228255918614160).

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

102100322233200 is a wasteful number, since it uses less digits than its factorization.

102100322233200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299096 (or 299085 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 102100322233200 its reverse (2332223001201), we get a palindrome (104432545234401).

The spelling of 102100322233200 in words is "one hundred two trillion, one hundred billion, three hundred twenty-two million, two hundred thirty-three thousand, two hundred".