30202102102200 has 384 divisors, whose sum is σ = 107207245440000. Its totient is φ = 6890093568000.

The previous prime is 30202102102181. The next prime is 30202102102201. The reversal of 30202102102200 is 220120120203.

It is a happy number.

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 30202102102200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30202102102201) 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, 5594015101 + ... + 5594020499.

It is an arithmetic number, because the mean of its divisors is an integer number (279185535000).

Almost surely, 2^{30202102102200} is an apocalyptic number.

30202102102200 is a gapful number since it is divisible by the number (30) 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 30202102102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53603622720000).

30202102102200 is an abundant number, since it is smaller than the sum of its proper divisors (77005143337800).

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

30202102102200 is a wasteful number, since it uses less digits than its factorization.

30202102102200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7735 (or 7726 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 30202102102200 its reverse (220120120203), we get a palindrome (30422222222403).

The spelling of 30202102102200 in words is "thirty trillion, two hundred two billion, one hundred two million, one hundred two thousand, two hundred".