102010323200 has 108 divisors (see below), whose sum is σ = 254993020548. Its totient is φ = 40399872000.

The previous prime is 102010323139. The next prime is 102010323203. The reversal of 102010323200 is 2323010201.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 15273005056 + 86737318144 = 123584^2 + 294512^2 .

It is a super-2 number, since 2×102010323200² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102010323203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 567494 + ... + 725306.

Almost surely, 2^102010323200 is an apocalyptic number.

102010323200 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 102010323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127496510274).

102010323200 is an abundant number, since it is smaller than the sum of its proper divisors (152982697348).

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

102010323200 is a wasteful number, since it uses less digits than its factorization.

102010323200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157940 (or 157921 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 102010323200 its reverse (2323010201), we get a palindrome (104333333401).

The spelling of 102010323200 in words is "one hundred two billion, ten million, three hundred twenty-three thousand, two hundred".