102381532999200 has 5760 divisors, whose sum is σ = 523094894784000. Its totient is φ = 19243114168320.

The previous prime is 102381532999087. The next prime is 102381532999201. The reversal of 102381532999200 is 2999235183201.

102381532999200 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 81 + 532 + 9 + 9 + 9 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (102381532999201) by changing a digit.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 93328653052 + ... + 93328654148.

It is an arithmetic number, because the mean of its divisors is an integer number (90815085900).

Almost surely, 2^{102381532999200} is an apocalyptic number.

102381532999200 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 102381532999200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261547447392000).

102381532999200 is an abundant number, since it is smaller than the sum of its proper divisors (420713361784800).

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

102381532999200 is a wasteful number, since it uses less digits than its factorization.

102381532999200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1199 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 102381532999200 in words is "one hundred two trillion, three hundred eighty-one billion, five hundred thirty-two million, nine hundred ninety-nine thousand, two hundred".