10211211101 has 16 divisors (see below), whose sum is σ = 12708864000. Its totient is φ = 7988416128.

The previous prime is 10211211079. The next prime is 10211211137. The reversal of 10211211101 is 10111211201.

10211211101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2^k-10211211101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211211191) 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 15 ways as a sum of consecutive naturals, for example, 622301 + ... + 638498.

It is an arithmetic number, because the mean of its divisors is an integer number (794304000).

Almost surely, 2^10211211101 is an apocalyptic number.

It is an amenable number.

10211211101 is a deficient number, since it is larger than the sum of its proper divisors (2497652899).

10211211101 is a wasteful number, since it uses less digits than its factorization.

10211211101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1260908.

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

Adding to 10211211101 its reverse (10111211201), we get a palindrome (20322422302).

The spelling of 10211211101 in words is "ten billion, two hundred eleven million, two hundred eleven thousand, one hundred one".