102443012000 has 192 divisors, whose sum is σ = 300168820224. Its totient is φ = 33596006400.

The previous prime is 102443011997. The next prime is 102443012017. The reversal of 102443012000 is 210344201.

102443012000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 102443012000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 564464 + ... + 723536.

It is an arithmetic number, because the mean of its divisors is an integer number (1563379272).

Almost surely, 2^102443012000 is an apocalyptic number.

102443012000 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 102443012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150084410112).

102443012000 is an abundant number, since it is smaller than the sum of its proper divisors (197725808224).

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

102443012000 is a wasteful number, since it uses less digits than its factorization.

102443012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159128 (or 159110 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 102443012000 its reverse (210344201), we get a palindrome (102653356201).

The spelling of 102443012000 in words is "one hundred two billion, four hundred forty-three million, twelve thousand".