30002310020100 has 288 divisors, whose sum is σ = 95857639718400. Its totient is φ = 7184270592000.

The previous prime is 30002310020071. The next prime is 30002310020161. The reversal of 30002310020100 is 102001320003.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2490018876 + ... + 2490030924.

It is an arithmetic number, because the mean of its divisors is an integer number (332839026800).

Almost surely, 2^{30002310020100} is an apocalyptic number.

30002310020100 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 30002310020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47928819859200).

30002310020100 is an abundant number, since it is smaller than the sum of its proper divisors (65855329698300).

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

30002310020100 is a wasteful number, since it uses less digits than its factorization.

30002310020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21251 (or 21244 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 30002310020100 its reverse (102001320003), we get a palindrome (30104311340103).

The spelling of 30002310020100 in words is "thirty trillion, two billion, three hundred ten million, twenty thousand, one hundred".