1000201101120 has 336 divisors, whose sum is σ = 3708096734160. Its totient is φ = 245991702528.

The previous prime is 1000201101103. The next prime is 1000201101139. The reversal of 1000201101120 is 211011020001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 40710325824 + 959490775296 = 201768^2 + 979536^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46002892 + ... + 46024628.

It is an arithmetic number, because the mean of its divisors is an integer number (11036002185).

Almost surely, 2^{1000201101120} is an apocalyptic number.

1000201101120 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 1000201101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1854048367080).

1000201101120 is an abundant number, since it is smaller than the sum of its proper divisors (2707895633040).

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

1000201101120 is a wasteful number, since it uses less digits than its factorization.

1000201101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23002 (or 22989 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1000201101120 its reverse (211011020001), we get a palindrome (1211212121121).

The spelling of 1000201101120 in words is "one trillion, two hundred one million, one hundred one thousand, one hundred twenty".