102020233300200 has 576 divisors, whose sum is σ = 359896265164800. Its totient is φ = 25849393574400.

The previous prime is 102020233300187. The next prime is 102020233300213. The reversal of 102020233300200 is 2003332020201.

It is a happy number.

102020233300200 is a `hidden beast` number, since 1 + 0 + 202 + 0 + 233 + 30 + 0 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (102020233300187) and next prime (102020233300213).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12659163771 + ... + 12659171829.

It is an arithmetic number, because the mean of its divisors is an integer number (624819904800).

Almost surely, 2^{102020233300200} is an apocalyptic number.

102020233300200 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 102020233300200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179948132582400).

102020233300200 is an abundant number, since it is smaller than the sum of its proper divisors (257876031864600).

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

102020233300200 is a wasteful number, since it uses less digits than its factorization.

102020233300200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10102 (or 10090 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 102020233300200 its reverse (2003332020201), we get a palindrome (104023565320401).

The spelling of 102020233300200 in words is "one hundred two trillion, twenty billion, two hundred thirty-three million, three hundred thousand, two hundred".