102200100321132 has 288 divisors, whose sum is σ = 291981201168384. Its totient is φ = 29875641868800.

The previous prime is 102200100321013. The next prime is 102200100321161. The reversal of 102200100321132 is 231123001002201.

102200100321132 is a `hidden beast` number, since 1 + 0 + 2 + 200 + 10 + 0 + 321 + 132 = 666.

102200100321132 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×102200100321132² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 546790878 + ... + 546977754.

It is an arithmetic number, because the mean of its divisors is an integer number (1013823615168).

Almost surely, 2^{102200100321132} is an apocalyptic number.

102200100321132 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 102200100321132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145990600584192).

102200100321132 is an abundant number, since it is smaller than the sum of its proper divisors (189781100847252).

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

102200100321132 is a wasteful number, since it uses less digits than its factorization.

102200100321132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187389 (or 187384 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 102200100321132 its reverse (231123001002201), we get a palindrome (333323101323333).

The spelling of 102200100321132 in words is "one hundred two trillion, two hundred billion, one hundred million, three hundred twenty-one thousand, one hundred thirty-two".