1001100120201 has 6 divisors (see below), whose sum is σ = 1446033506970. Its totient is φ = 667400080128.

The previous prime is 1001100120109. The next prime is 1001100120211. The reversal of 1001100120201 is 1020210011001.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 596478182400 + 404621937801 = 772320^2 + 636099^2 .

It is not a de Polignac number, because 1001100120201 - 2⁹ = 1001100119689 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 111233346689 = 1001100120201 / (1 + 0 + 0 + 1 + 1 + 0 + 0 + 1 + 2 + 0 + 2 + 0 + 1).

It is not an unprimeable number, because it can be changed into a prime (1001100120211) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 55616673336 + ... + 55616673353.

It is an arithmetic number, because the mean of its divisors is an integer number (241005584495).

Almost surely, 2^{1001100120201} is an apocalyptic number.

It is an amenable number.

1001100120201 is a deficient number, since it is larger than the sum of its proper divisors (444933386769).

1001100120201 is a wasteful number, since it uses less digits than its factorization.

1001100120201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111233346695 (or 111233346692 counting only the distinct ones).

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

Adding to 1001100120201 its reverse (1020210011001), we get a palindrome (2021310131202).

The spelling of 1001100120201 in words is "one trillion, one billion, one hundred million, one hundred twenty thousand, two hundred one".