102132312000 has 448 divisors, whose sum is σ = 347646394368. Its totient is φ = 26403840000.

The previous prime is 102132311971. The next prime is 102132312011. The reversal of 102132312000 is 213231201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 266663809 + ... + 266664191.

It is an arithmetic number, because the mean of its divisors is an integer number (775996416).

Almost surely, 2^102132312000 is an apocalyptic number.

102132312000 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 102132312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173823197184).

102132312000 is an abundant number, since it is smaller than the sum of its proper divisors (245514082368).

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

102132312000 is a wasteful number, since it uses less digits than its factorization.

102132312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 102132312000 its reverse (213231201), we get a palindrome (102345543201).

The spelling of 102132312000 in words is "one hundred two billion, one hundred thirty-two million, three hundred twelve thousand".