10011121001 has 32 divisors (see below), whose sum is σ = 12052212480. Its totient is φ = 8134963200.

The previous prime is 10011120991. The next prime is 10011121019. The reversal of 10011121001 is 10012111001.

It is a happy number.

10011121001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10011121001 - 2²⁶ = 9944012137 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10011121001.

It is not an unprimeable number, because it can be changed into a prime (10011121031) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2577581 + ... + 2581461.

It is an arithmetic number, because the mean of its divisors is an integer number (376631640).

Almost surely, 2^10011121001 is an apocalyptic number.

It is an amenable number.

10011121001 is a deficient number, since it is larger than the sum of its proper divisors (2041091479).

10011121001 is a wasteful number, since it uses less digits than its factorization.

10011121001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4145.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 10011121001 its reverse (10012111001), we get a palindrome (20023232002).

The spelling of 10011121001 in words is "ten billion, eleven million, one hundred twenty-one thousand, one".