10222011101101 has 16 divisors (see below), whose sum is σ = 10834047475200. Its totient is φ = 9611169769728.

The previous prime is 10222011101083. The next prime is 10222011101117. The reversal of 10222011101101 is 10110111022201.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10222011101101 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 (10222011107101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 417741295 + ... + 417765763.

It is an arithmetic number, because the mean of its divisors is an integer number (677127967200).

Almost surely, 2^{10222011101101} is an apocalyptic number.

It is an amenable number.

10222011101101 is a deficient number, since it is larger than the sum of its proper divisors (612036374099).

10222011101101 is a wasteful number, since it uses less digits than its factorization.

10222011101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47868.

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

Adding to 10222011101101 its reverse (10110111022201), we get a palindrome (20332122123302).

The spelling of 10222011101101 in words is "ten trillion, two hundred twenty-two billion, eleven million, one hundred one thousand, one hundred one".