102132123303000 has 768 divisors, whose sum is σ = 395306564889600. Its totient is φ = 21813139353600.

The previous prime is 102132123302981. The next prime is 102132123303097. The reversal of 102132123303000 is 303321231201.

It is a super-2 number, since 2×102132123303000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 347213989 + ... + 347508011.

It is an arithmetic number, because the mean of its divisors is an integer number (514722089700).

Almost surely, 2^{102132123303000} is an apocalyptic number.

102132123303000 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 102132123303000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197653282444800).

102132123303000 is an abundant number, since it is smaller than the sum of its proper divisors (293174441586600).

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

102132123303000 is a wasteful number, since it uses less digits than its factorization.

102132123303000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294217 (or 294196 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 102132123303000 its reverse (303321231201), we get a palindrome (102435444534201).

The spelling of 102132123303000 in words is "one hundred two trillion, one hundred thirty-two billion, one hundred twenty-three million, three hundred three thousand".