30201102103032 has 384 divisors, whose sum is σ = 98038409564160. Its totient is φ = 8211962373120.

The previous prime is 30201102102979. The next prime is 30201102103037. The reversal of 30201102103032 is 23030120110203.

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

It is a junction number, because it is equal to n+sod(n) for n = 30201102102996 and 30201102103014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30201102103037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2428320718 + ... + 2428333154.

It is an arithmetic number, because the mean of its divisors is an integer number (255308358240).

Almost surely, 2^{30201102103032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30201102103032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49019204782080).

30201102103032 is an abundant number, since it is smaller than the sum of its proper divisors (67837307461128).

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

30201102103032 is a wasteful number, since it uses less digits than its factorization.

30201102103032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13523 (or 13516 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 30201102103032 its reverse (23030120110203), we get a palindrome (53231222213235).

The spelling of 30201102103032 in words is "thirty trillion, two hundred one billion, one hundred two million, one hundred three thousand, thirty-two".