102123032000 has 168 divisors, whose sum is σ = 277992078000. Its totient is φ = 37135296000.

The previous prime is 102123031963. The next prime is 102123032003. The reversal of 102123032000 is 230321201.

It is a happy number.

It is a super-2 number, since 2×102123032000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102123032003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 915251 + ... + 1020749.

It is an arithmetic number, because the mean of its divisors is an integer number (1654714750).

Almost surely, 2^102123032000 is an apocalyptic number.

102123032000 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 102123032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138996039000).

102123032000 is an abundant number, since it is smaller than the sum of its proper divisors (175869046000).

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

102123032000 is a wasteful number, since it uses less digits than its factorization.

102123032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105548 (or 105517 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 102123032000 its reverse (230321201), we get a palindrome (102353353201).

The spelling of 102123032000 in words is "one hundred two billion, one hundred twenty-three million, thirty-two thousand".