22112221102101 has 12 divisors (see below), whose sum is σ = 34396788381228. Its totient is φ = 13607520678144.

The previous prime is 22112221102087. The next prime is 22112221102211. The reversal of 22112221102101 is 10120112221122.

22112221102101 is a `hidden beast` number, since 221 + 1 + 2 + 221 + 10 + 210 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5829979266225 + 16282241835876 = 2414535^2 + 4035126^2 .

It is not a de Polignac number, because 22112221102101 - 2⁹ = 22112221101589 is a prime.

It is a super-2 number, since 2×22112221102101² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22112221101101) 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 11 ways as a sum of consecutive naturals, for example, 94496671260 + ... + 94496671493.

It is an arithmetic number, because the mean of its divisors is an integer number (2866399031769).

Almost surely, 2^{22112221102101} is an apocalyptic number.

It is an amenable number.

22112221102101 is a deficient number, since it is larger than the sum of its proper divisors (12284567279127).

22112221102101 is a wasteful number, since it uses less digits than its factorization.

22112221102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188993342772 (or 188993342769 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 22112221102101 its reverse (10120112221122), we get a palindrome (32232333323223).

The spelling of 22112221102101 in words is "twenty-two trillion, one hundred twelve billion, two hundred twenty-one million, one hundred two thousand, one hundred one".