102002101331130 has 1152 divisors, whose sum is σ = 374451319307520. Its totient is φ = 19035323274240.

The previous prime is 102002101331111. The next prime is 102002101331147. The reversal of 102002101331130 is 31133101200201.

102002101331130 is a `hidden beast` number, since 1 + 0 + 200 + 2 + 1 + 0 + 1 + 331 + 130 = 666.

It is a super-2 number, since 2×102002101331130² (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 575 ways as a sum of consecutive naturals, for example, 3943316457 + ... + 3943342323.

It is an arithmetic number, because the mean of its divisors is an integer number (325044548010).

Almost surely, 2^{102002101331130} is an apocalyptic number.

102002101331130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102002101331130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187225659653760).

102002101331130 is an abundant number, since it is smaller than the sum of its proper divisors (272449217976390).

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

102002101331130 is a wasteful number, since it uses less digits than its factorization.

102002101331130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25981 (or 25945 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 102002101331130 its reverse (31133101200201), we get a palindrome (133135202531331).

The spelling of 102002101331130 in words is "one hundred two trillion, two billion, one hundred one million, three hundred thirty-one thousand, one hundred thirty".