102010210200 has 288 divisors, whose sum is σ = 363621258000. Its totient is φ = 25540116480.

The previous prime is 102010210177. The next prime is 102010210207. The reversal of 102010210200 is 2012010201.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102010210207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13245951 + ... + 13253649.

Almost surely, 2^102010210200 is an apocalyptic number.

102010210200 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 102010210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181810629000).

102010210200 is an abundant number, since it is smaller than the sum of its proper divisors (261611047800).

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

102010210200 is a wasteful number, since it uses less digits than its factorization.

102010210200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8171 (or 8159 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 102010210200 its reverse (2012010201), we get a palindrome (104022220401).

The spelling of 102010210200 in words is "one hundred two billion, ten million, two hundred ten thousand, two hundred".