102201321300 has 144 divisors (see below), whose sum is σ = 322812047040. Its totient is φ = 24812559360.

The previous prime is 102201321263. The next prime is 102201321349. The reversal of 102201321300 is 3123102201.

It is a super-2 number, since 2×102201321300² (a number of 23 digits) contains 22 as substring.

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 102201321300.

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, 105211 + ... + 464189.

Almost surely, 2^102201321300 is an apocalyptic number.

102201321300 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 102201321300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161406023520).

102201321300 is an abundant number, since it is smaller than the sum of its proper divisors (220610725740).

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

102201321300 is a wasteful number, since it uses less digits than its factorization.

102201321300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359082 (or 359075 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 102201321300 its reverse (3123102201), we get a palindrome (105324423501).

The spelling of 102201321300 in words is "one hundred two billion, two hundred one million, three hundred twenty-one thousand, three hundred".