1011001200001 has 8 divisors (see below), whose sum is σ = 1090469082024. Its totient is φ = 931775969280.

The previous prime is 1011001199927. The next prime is 1011001200037. The reversal of 1011001200001 is 1000021001101.

It can be written as a sum of positive squares in 4 ways, for example, as 199558758400 + 811442441601 = 446720^2 + 900801^2 .

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

It is not a de Polignac number, because 1011001200001 - 2²⁷ = 1010866982273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1011001200061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60654166 + ... + 60670831.

It is an arithmetic number, because the mean of its divisors is an integer number (136308635253).

Almost surely, 2^{1011001200001} is an apocalyptic number.

It is an amenable number.

1011001200001 is a deficient number, since it is larger than the sum of its proper divisors (79467882023).

1011001200001 is a wasteful number, since it uses less digits than its factorization.

1011001200001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121325651.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 1011001200001 its reverse (1000021001101), we get a palindrome (2011022201102).

The spelling of 1011001200001 in words is "one trillion, eleven billion, one million, two hundred thousand, one".