10211020211011 has 16 divisors (see below), whose sum is σ = 10925223216160. Its totient is φ = 9514512046080.

The previous prime is 10211020210961. The next prime is 10211020211023. The reversal of 10211020211011 is 11011202011201.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10211020211011 - 2¹⁹ = 10211019686723 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10211020210982 and 10211020211000.

It is not an unprimeable number, because it can be changed into a prime (10211020211411) 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 15 ways as a sum of consecutive naturals, for example, 22698805 + ... + 23144281.

It is an arithmetic number, because the mean of its divisors is an integer number (682826451010).

Almost surely, 2^{10211020211011} is an apocalyptic number.

10211020211011 is a deficient number, since it is larger than the sum of its proper divisors (714203005149).

10211020211011 is a wasteful number, since it uses less digits than its factorization.

10211020211011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465334.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10211020211011 its reverse (11011202011201), we get a palindrome (21222222222212).

The spelling of 10211020211011 in words is "ten trillion, two hundred eleven billion, twenty million, two hundred eleven thousand, eleven".