10211222111101 has 12 divisors (see below), whose sum is σ = 11350016603100. Its totient is φ = 9178626607040.

The previous prime is 10211222111047. The next prime is 10211222111113. The reversal of 10211222111101 is 10111122211201.

It can be written as a sum of positive squares in 2 ways, for example, as 1813681692900 + 8397540418201 = 1346730^2 + 2897851^2 .

It is not a de Polignac number, because 10211222111101 - 2³⁷ = 10073783157629 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211222111201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 474091846 + ... + 474113383.

It is an arithmetic number, because the mean of its divisors is an integer number (945834716925).

Almost surely, 2^{10211222111101} is an apocalyptic number.

10211222111101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10211222111101 is a deficient number, since it is larger than the sum of its proper divisors (1138794491999).

10211222111101 is an equidigital number, since it uses as much as digits as its factorization.

10211222111101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948205340 (or 948205329 counting only the distinct ones).

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

Adding to 10211222111101 its reverse (10111122211201), we get a palindrome (20322344322302).

The spelling of 10211222111101 in words is "ten trillion, two hundred eleven billion, two hundred twenty-two million, one hundred eleven thousand, one hundred one".