102224121132 has 96 divisors (see below), whose sum is σ = 289841448960. Its totient is φ = 27373731840.

The previous prime is 102224121101. The next prime is 102224121173. The reversal of 102224121132 is 231121422201.

It is a happy number.

It is a super-2 number, since 2×102224121132² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 102224121099 and 102224121108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 191532 + ... + 491052.

It is an arithmetic number, because the mean of its divisors is an integer number (3019181760).

Almost surely, 2^102224121132 is an apocalyptic number.

102224121132 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 102224121132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144920724480).

102224121132 is an abundant number, since it is smaller than the sum of its proper divisors (187617327828).

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

102224121132 is a wasteful number, since it uses less digits than its factorization.

102224121132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299791 (or 299789 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 102224121132 its reverse (231121422201), we get a palindrome (333345543333).

The spelling of 102224121132 in words is "one hundred two billion, two hundred twenty-four million, one hundred twenty-one thousand, one hundred thirty-two".