30201020101000 has 192 divisors, whose sum is σ = 83022367662000. Its totient is φ = 10252112640000.

The previous prime is 30201020100967. The next prime is 30201020101013. The reversal of 30201020101000 is 10102010203.

It can be written as a sum of positive squares in 8 ways, for example, as 7701612931684 + 22499407169316 = 2775178^2 + 4743354^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1897776 + ... + 8000224.

Almost surely, 2^{30201020101000} 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 30201020101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41511183831000).

30201020101000 is an abundant number, since it is smaller than the sum of its proper divisors (52821347561000).

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

30201020101000 is a wasteful number, since it uses less digits than its factorization.

30201020101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6102585 (or 6102564 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 30201020101000 its reverse (10102010203), we get a palindrome (30211122111203).

The spelling of 30201020101000 in words is "thirty trillion, two hundred one billion, twenty million, one hundred one thousand".