102221330013132 has 192 divisors, whose sum is σ = 271211291366400. Its totient is φ = 29692790784000.

The previous prime is 102221330013059. The next prime is 102221330013149. The reversal of 102221330013132 is 231310033122201.

It is a super-2 number, since 2×102221330013132² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 303222844 + ... + 303559772.

It is an arithmetic number, because the mean of its divisors is an integer number (1412558809200).

Almost surely, 2^{102221330013132} is an apocalyptic number.

102221330013132 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 102221330013132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135605645683200).

102221330013132 is an abundant number, since it is smaller than the sum of its proper divisors (168989961353268).

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

102221330013132 is a wasteful number, since it uses less digits than its factorization.

102221330013132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337968 (or 337966 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 102221330013132 its reverse (231310033122201), we get a palindrome (333531363135333).

The spelling of 102221330013132 in words is "one hundred two trillion, two hundred twenty-one billion, three hundred thirty million, thirteen thousand, one hundred thirty-two".