102022302300 has 288 divisors, whose sum is σ = 319484051712. Its totient is φ = 25040670720.

The previous prime is 102022302287. The next prime is 102022302307. The reversal of 102022302300 is 3203220201.

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 102022302300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102022302307) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 158665779 + ... + 158666421.

It is an arithmetic number, because the mean of its divisors is an integer number (1109319624).

Almost surely, 2^102022302300 is an apocalyptic number.

102022302300 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 102022302300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159742025856).

102022302300 is an abundant number, since it is smaller than the sum of its proper divisors (217461749412).

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

102022302300 is a wasteful number, since it uses less digits than its factorization.

102022302300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1317 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 102022302300 its reverse (3203220201), we get a palindrome (105225522501).

The spelling of 102022302300 in words is "one hundred two billion, twenty-two million, three hundred two thousand, three hundred".