10211010110111 has 4 divisors (see below), whose sum is σ = 10211016543000. Its totient is φ = 10211003677224.

The previous prime is 10211010110087. The next prime is 10211010110123. The reversal of 10211010110111 is 11101101011201.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 10211010110111 - 2²⁶ = 10210943001247 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10211010110092 and 10211010110101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211010110141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1058105 + ... + 4641293.

It is an arithmetic number, because the mean of its divisors is an integer number (2552754135750).

Almost surely, 2^{10211010110111} is an apocalyptic number.

10211010110111 is a deficient number, since it is larger than the sum of its proper divisors (6432889).

10211010110111 is an equidigital number, since it uses as much as digits as its factorization.

10211010110111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6432888.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 10211010110111 its reverse (11101101011201), we get a palindrome (21312111121312).

The spelling of 10211010110111 in words is "ten trillion, two hundred eleven billion, ten million, one hundred ten thousand, one hundred eleven".