102204102000 has 2160 divisors, whose sum is σ = 483054770016. Its totient is φ = 18450432000.

The previous prime is 102204101981. The next prime is 102204102001. The reversal of 102204102000 is 201402201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102204102001) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 6012005992 + ... + 6012006008.

Almost surely, 2^102204102000 is an apocalyptic number.

102204102000 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 102204102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241527385008).

102204102000 is an abundant number, since it is smaller than the sum of its proper divisors (380850668016).

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

102204102000 is a wasteful number, since it uses less digits than its factorization.

102204102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 102204102000 its reverse (201402201), we get a palindrome (102405504201).

The spelling of 102204102000 in words is "one hundred two billion, two hundred four million, one hundred two thousand".