102200230333000 has 128 divisors (see below), whose sum is σ = 240749448825600. Its totient is φ = 40607253312000.

The previous prime is 102200230332997. The next prime is 102200230333021. The reversal of 102200230333000 is 333032002201.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99140220 + ... + 100165780.

It is an arithmetic number, because the mean of its divisors is an integer number (1880855068950).

Almost surely, 2^{102200230333000} is an apocalyptic number.

102200230333000 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 102200230333000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120374724412800).

102200230333000 is an abundant number, since it is smaller than the sum of its proper divisors (138549218492600).

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

102200230333000 is a wasteful number, since it uses less digits than its factorization.

102200230333000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026248 (or 1026234 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

Adding to 102200230333000 its reverse (333032002201), we get a palindrome (102533262335201).

The spelling of 102200230333000 in words is "one hundred two trillion, two hundred billion, two hundred thirty million, three hundred thirty-three thousand".