10222113013011 has 12 divisors (see below), whose sum is σ = 14847761920680. Its totient is φ = 6776670823200.

The previous prime is 10222113012989. The next prime is 10222113013097. The reversal of 10222113013011 is 11031031122201.

10222113013011 is a `hidden beast` number, since 10 + 2 + 221 + 130 + 1 + 301 + 1 = 666.

It is not a de Polignac number, because 10222113013011 - 2¹⁹ = 10222112488723 is a prime.

It is a super-2 number, since 2×10222113013011² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10222113023011) 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 11 ways as a sum of consecutive naturals, for example, 3172597090 + ... + 3172600311.

It is an arithmetic number, because the mean of its divisors is an integer number (1237313493390).

Almost surely, 2^{10222113013011} is an apocalyptic number.

10222113013011 is a deficient number, since it is larger than the sum of its proper divisors (4625648907669).

10222113013011 is a wasteful number, since it uses less digits than its factorization.

10222113013011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6345197586 (or 6345197583 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 10222113013011 its reverse (11031031122201), we get a palindrome (21253144135212).

The spelling of 10222113013011 in words is "ten trillion, two hundred twenty-two billion, one hundred thirteen million, thirteen thousand, eleven".