102234221100 has 432 divisors, whose sum is σ = 363066762240. Its totient is φ = 23837760000.

The previous prime is 102234221093. The next prime is 102234221123. The reversal of 102234221100 is 1122432201.

It is a happy number.

102234221100 is a `hidden beast` number, since 10 + 223 + 422 + 1 + 10 + 0 = 666.

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 143 ways as a sum of consecutive naturals, for example, 54934170 + ... + 54936030.

It is an arithmetic number, because the mean of its divisors is an integer number (840432320).

Almost surely, 2^102234221100 is an apocalyptic number.

102234221100 is a gapful number since it is divisible by the number (10) 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 102234221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181533381120).

102234221100 is an abundant number, since it is smaller than the sum of its proper divisors (260832541140).

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

102234221100 is a wasteful number, since it uses less digits than its factorization.

102234221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2102 (or 2092 counting only the distinct ones).

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

Adding to 102234221100 its reverse (1122432201), we get a palindrome (103356653301).

The spelling of 102234221100 in words is "one hundred two billion, two hundred thirty-four million, two hundred twenty-one thousand, one hundred".