102201300000 has 216 divisors, whose sum is σ = 363273631812. Its totient is φ = 27253440000.

The previous prime is 102201299983. The next prime is 102201300007. The reversal of 102201300000 is 3102201.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 27626428944 + 74574871056 = 166212^2 + 273084^2 .

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

It is not an unprimeable number, because it can be changed into a prime (102201300007) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 843222 + ... + 956778.

Almost surely, 2^102201300000 is an apocalyptic number.

102201300000 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 102201300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181636815906).

102201300000 is an abundant number, since it is smaller than the sum of its proper divisors (261072331812).

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

102201300000 is an equidigital number, since it uses as much as digits as its factorization.

102201300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113598 (or 113567 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 102201300000 its reverse (3102201), we get a palindrome (102204402201).

The spelling of 102201300000 in words is "one hundred two billion, two hundred one million, three hundred thousand".