102132133012 has 144 divisors (see below), whose sum is σ = 228493343232. Its totient is φ = 39087135360.

The previous prime is 102132133009. The next prime is 102132133013. The reversal of 102132133012 is 210331231201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102132133013) 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 47 ways as a sum of consecutive naturals, for example, 21769587 + ... + 21774277.

It is an arithmetic number, because the mean of its divisors is an integer number (1586759328).

Almost surely, 2^102132133012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102132133012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114246671616).

102132133012 is an abundant number, since it is smaller than the sum of its proper divisors (126361210220).

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

102132133012 is a wasteful number, since it uses less digits than its factorization.

102132133012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4878 (or 4863 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 102132133012 its reverse (210331231201), we get a palindrome (312463364213).

The spelling of 102132133012 in words is "one hundred two billion, one hundred thirty-two million, one hundred thirty-three thousand, twelve".