30101001201000 has 768 divisors, whose sum is σ = 107253288717120. Its totient is φ = 7604305920000.

The previous prime is 30101001200999. The next prime is 30101001201013. The reversal of 30101001201000 is 10210010103.

It can be written as a sum of positive squares in 32 ways, for example, as 186380431524 + 29914620769476 = 431718^2 + 5469426^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7877779090 + ... + 7877782910.

Almost surely, 2^{30101001201000} is an apocalyptic number.

30101001201000 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 30101001201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53626644358560).

30101001201000 is an abundant number, since it is smaller than the sum of its proper divisors (77152287516120).

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

30101001201000 is a wasteful number, since it uses less digits than its factorization.

30101001201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4503 (or 4486 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 30101001201000 its reverse (10210010103), we get a palindrome (30111211211103).

The spelling of 30101001201000 in words is "thirty trillion, one hundred one billion, one million, two hundred one thousand".