1001201030120 has 64 divisors (see below), whose sum is σ = 2308393760400. Its totient is φ = 390586040320.

The previous prime is 1001201030077. The next prime is 1001201030129. The reversal of 1001201030120 is 210301021001.

It can be written as a sum of positive squares in 8 ways, for example, as 203312613604 + 797888416516 = 450902^2 + 893246^2 .

It is not an unprimeable number, because it can be changed into a prime (1001201030129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5047376 + ... + 5241984.

Almost surely, 2^{1001201030120} is an apocalyptic number.

1001201030120 is a gapful number since it is divisible by the number (10) 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 1001201030120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1154196880200).

1001201030120 is an abundant number, since it is smaller than the sum of its proper divisors (1307192730280).

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

1001201030120 is a wasteful number, since it uses less digits than its factorization.

1001201030120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197798 (or 197794 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 1001201030120 its reverse (210301021001), we get a palindrome (1211502051121).

The spelling of 1001201030120 in words is "one trillion, one billion, two hundred one million, thirty thousand, one hundred twenty".