10002120221011 has 32 divisors (see below), whose sum is σ = 10380790854720. Its totient is φ = 9632269785600.

The previous prime is 10002120220999. The next prime is 10002120221029. The reversal of 10002120221011 is 11012202120001.

It is a cyclic number.

It is not a de Polignac number, because 10002120221011 - 2¹⁵ = 10002120188243 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10002120220982 and 10002120221000.

It is not an unprimeable number, because it can be changed into a prime (10002120221411) 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 31 ways as a sum of consecutive naturals, for example, 860687781 + ... + 860699401.

It is an arithmetic number, because the mean of its divisors is an integer number (324399714210).

Almost surely, 2^{10002120221011} is an apocalyptic number.

10002120221011 is a deficient number, since it is larger than the sum of its proper divisors (378670633709).

10002120221011 is a wasteful number, since it uses less digits than its factorization.

10002120221011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13015.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10002120221011 its reverse (11012202120001), we get a palindrome (21014322341012).

The spelling of 10002120221011 in words is "ten trillion, two billion, one hundred twenty million, two hundred twenty-one thousand, eleven".