102132123000 has 128 divisors (see below), whose sum is σ = 318821106240. Its totient is φ = 27220800000.

The previous prime is 102132122999. The next prime is 102132123011. The reversal of 102132123000 is 321231201.

102132123000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6415050 + ... + 6430950.

Almost surely, 2^102132123000 is an apocalyptic number.

102132123000 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 102132123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159410553120).

102132123000 is an abundant number, since it is smaller than the sum of its proper divisors (216688983240).

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

102132123000 is a wasteful number, since it uses less digits than its factorization.

102132123000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18066 (or 18052 counting only the distinct ones).

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

Adding to 102132123000 its reverse (321231201), we get a palindrome (102453354201).

The spelling of 102132123000 in words is "one hundred two billion, one hundred thirty-two million, one hundred twenty-three thousand".