1201020001001 has 8 divisors (see below), whose sum is σ = 1271678196744. Its totient is φ = 1130362912000.

The previous prime is 1201020000937. The next prime is 1201020001003. The reversal of 1201020001001 is 1001000201021.

It can be written as a sum of positive squares in 4 ways, for example, as 750517272976 + 450502728025 = 866324^2 + 671195^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1201020001001 - 2⁶ = 1201020000937 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1201020001001.

It is not an unprimeable number, because it can be changed into a prime (1201020001003) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3220751 + ... + 3574251.

It is an arithmetic number, because the mean of its divisors is an integer number (158959774593).

Almost surely, 2^{1201020001001} is an apocalyptic number.

It is an amenable number.

1201020001001 is a deficient number, since it is larger than the sum of its proper divisors (70658195743).

1201020001001 is a wasteful number, since it uses less digits than its factorization.

1201020001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553371.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1201020001001 its reverse (1001000201021), we get a palindrome (2202020202022).

The spelling of 1201020001001 in words is "one trillion, two hundred one billion, twenty million, one thousand, one".