10112102220221 has 16 divisors (see below), whose sum is σ = 10167332179200. Its totient is φ = 10057037664960.

The previous prime is 10112102220217. The next prime is 10112102220223. The reversal of 10112102220221 is 12202220121101.

It is a cyclic number.

It is not a de Polignac number, because 10112102220221 - 2² = 10112102220217 is a prime.

It is a super-2 number, since 2×10112102220221² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10112102220221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10112102220223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 561369011 + ... + 561387023.

It is an arithmetic number, because the mean of its divisors is an integer number (635458261200).

Almost surely, 2^{10112102220221} is an apocalyptic number.

It is an amenable number.

10112102220221 is a deficient number, since it is larger than the sum of its proper divisors (55229958979).

10112102220221 is a wasteful number, since it uses less digits than its factorization.

10112102220221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22436.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 10112102220221 its reverse (12202220121101), we get a palindrome (22314322341322).

The spelling of 10112102220221 in words is "ten trillion, one hundred twelve billion, one hundred two million, two hundred twenty thousand, two hundred twenty-one".