103200102223200 has 432 divisors, whose sum is σ = 364831134844176. Its totient is φ = 27450367488000.

The previous prime is 103200102223199. The next prime is 103200102223217. The reversal of 103200102223200 is 2322201002301.

103200102223200 is a `hidden beast` number, since 1 + 0 + 320 + 0 + 1 + 0 + 2 + 22 + 320 + 0 = 666.

It is a super-2 number, since 2×103200102223200² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12444238254 + ... + 12444246546.

It is an arithmetic number, because the mean of its divisors is an integer number (844516515843).

Almost surely, 2^{103200102223200} is an apocalyptic number.

103200102223200 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 103200102223200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182415567422088).

103200102223200 is an abundant number, since it is smaller than the sum of its proper divisors (261631032620976).

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

103200102223200 is a wasteful number, since it uses less digits than its factorization.

103200102223200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12487 (or 12471 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 103200102223200 its reverse (2322201002301), we get a palindrome (105522303225501).

The spelling of 103200102223200 in words is "one hundred three trillion, two hundred billion, one hundred two million, two hundred twenty-three thousand, two hundred".