102132203212032 has 576 divisors, whose sum is σ = 322732394471424. Its totient is φ = 28068090347520.

The previous prime is 102132203212009. The next prime is 102132203212033. The reversal of 102132203212032 is 230212302231201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 102132203211993 and 102132203212011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102132203212033) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 26926495128 + ... + 26926498920.

Almost surely, 2^{102132203212032} is an apocalyptic number.

102132203212032 is a gapful number since it is divisible by the number (12) 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 102132203212032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161366197235712).

102132203212032 is an abundant number, since it is smaller than the sum of its proper divisors (220600191259392).

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

102132203212032 is a wasteful number, since it uses less digits than its factorization.

102132203212032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5674 (or 5660 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 102132203212032 its reverse (230212302231201), we get a palindrome (332344505443233).

The spelling of 102132203212032 in words is "one hundred two trillion, one hundred thirty-two billion, two hundred three million, two hundred twelve thousand, thirty-two".