10001201121011 has 8 divisors (see below), whose sum is σ = 10751571194880. Its totient is φ = 9273230153928.

The previous prime is 10001201120987. The next prime is 10001201121053. The reversal of 10001201121011 is 11012110210001.

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

It is a cyclic number.

It is not a de Polignac number, because 10001201121011 - 2²⁶ = 10001134012147 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10001201120983 and 10001201121001.

It is not an unprimeable number, because it can be changed into a prime (10001201129011) 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, 5599775771 + ... + 5599777556.

It is an arithmetic number, because the mean of its divisors is an integer number (1343946399360).

Almost surely, 2^{10001201121011} is an apocalyptic number.

10001201121011 is a deficient number, since it is larger than the sum of its proper divisors (750370073869).

10001201121011 is a wasteful number, since it uses less digits than its factorization.

10001201121011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11199553393.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10001201121011 its reverse (11012110210001), we get a palindrome (21013311331012).

The spelling of 10001201121011 in words is "ten trillion, one billion, two hundred one million, one hundred twenty-one thousand, eleven".