102202221132 has 144 divisors (see below), whose sum is σ = 284521779360. Its totient is φ = 30675993600.

The previous prime is 102202221127. The next prime is 102202221157. The reversal of 102202221132 is 231122202201.

102202221132 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 2×102202221132² (a number of 23 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 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, 19248094 + ... + 19253402.

It is an arithmetic number, because the mean of its divisors is an integer number (1975845690).

Almost surely, 2^102202221132 is an apocalyptic number.

102202221132 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 102202221132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142260889680).

102202221132 is an abundant number, since it is smaller than the sum of its proper divisors (182319558228).

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

102202221132 is a wasteful number, since it uses less digits than its factorization.

102202221132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5784 (or 5779 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 102202221132 its reverse (231122202201), we get a palindrome (333324423333).

The spelling of 102202221132 in words is "one hundred two billion, two hundred two million, two hundred twenty-one thousand, one hundred thirty-two".