102202312002300 has 216 divisors, whose sum is σ = 332224025624400. Its totient is φ = 27252978923520.

The previous prime is 102202312002247. The next prime is 102202312002311. The reversal of 102202312002300 is 3200213202201.

102202312002300 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 0 + 231 + 200 + 230 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 908982486 + ... + 909094914.

Almost surely, 2^{102202312002300} is an apocalyptic number.

102202312002300 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 102202312002300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166112012812200).

102202312002300 is an abundant number, since it is smaller than the sum of its proper divisors (230021713622100).

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

102202312002300 is a wasteful number, since it uses less digits than its factorization.

102202312002300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149867 (or 149848 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 102202312002300 its reverse (3200213202201), we get a palindrome (105402525204501).

The spelling of 102202312002300 in words is "one hundred two trillion, two hundred two billion, three hundred twelve million, two thousand, three hundred".