102234143352000 has 1792 divisors, whose sum is σ = 398858506076160. Its totient is φ = 22827571200000.

The previous prime is 102234143351987. The next prime is 102234143352043. The reversal of 102234143352000 is 253341432201.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 16850852967 + ... + 16850859033.

Almost surely, 2^{102234143352000} is an apocalyptic number.

102234143352000 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 102234143352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199429253038080).

102234143352000 is an abundant number, since it is smaller than the sum of its proper divisors (296624362724160).

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

102234143352000 is a wasteful number, since it uses less digits than its factorization.

102234143352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6239 (or 6219 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 102234143352000 its reverse (253341432201), we get a palindrome (102487484784201).

The spelling of 102234143352000 in words is "one hundred two trillion, two hundred thirty-four billion, one hundred forty-three million, three hundred fifty-two thousand".