102021205200 has 240 divisors, whose sum is σ = 334233893376. Its totient is φ = 26591385600.

The previous prime is 102021205159. The next prime is 102021205211. The reversal of 102021205200 is 2502120201.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102021205200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17614305 + ... + 17620095.

Almost surely, 2^102021205200 is an apocalyptic number.

102021205200 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 102021205200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167116946688).

102021205200 is an abundant number, since it is smaller than the sum of its proper divisors (232212688176).

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

102021205200 is a wasteful number, since it uses less digits than its factorization.

102021205200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6142 (or 6131 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

Adding to 102021205200 its reverse (2502120201), we get a palindrome (104523325401).

The spelling of 102021205200 in words is "one hundred two billion, twenty-one million, two hundred five thousand, two hundred".