10021120011009 has 24 divisors (see below), whose sum is σ = 15004403481600. Its totient is φ = 6438187465920.

The previous prime is 10021120010927. The next prime is 10021120011011. The reversal of 10021120011009 is 90011002112001.

It is a happy number.

It is not a de Polignac number, because 10021120011009 - 2¹¹ = 10021120008961 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10021120010982 and 10021120011000.

It is not an unprimeable number, because it can be changed into a prime (10021120011029) 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 23 ways as a sum of consecutive naturals, for example, 75075564 + ... + 75208925.

It is an arithmetic number, because the mean of its divisors is an integer number (625183478400).

Almost surely, 2^{10021120011009} is an apocalyptic number.

It is an amenable number.

10021120011009 is a deficient number, since it is larger than the sum of its proper divisors (4983283470591).

10021120011009 is a wasteful number, since it uses less digits than its factorization.

10021120011009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150284765 (or 150284762 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

The spelling of 10021120011009 in words is "ten trillion, twenty-one billion, one hundred twenty million, eleven thousand, nine".