102204410000 has 800 divisors, whose sum is σ = 334692864000. Its totient is φ = 29272320000.

The previous prime is 102204409969. The next prime is 102204410041. The reversal of 102204410000 is 14402201.

It is a Harshad number since it is a multiple of its sum of digits (14).

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 159 ways as a sum of consecutive naturals, for example, 513589901 + ... + 513590099.

It is an arithmetic number, because the mean of its divisors is an integer number (418366080).

Almost surely, 2^102204410000 is an apocalyptic number.

102204410000 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 102204410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167346432000).

102204410000 is an abundant number, since it is smaller than the sum of its proper divisors (232488454000).

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

102204410000 is a wasteful number, since it uses less digits than its factorization.

102204410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 102204410000 its reverse (14402201), we get a palindrome (102218812201).

The spelling of 102204410000 in words is "one hundred two billion, two hundred four million, four hundred ten thousand".