10222211022111 has 24 divisors (see below), whose sum is σ = 16107826715136. Its totient is φ = 6195240847440.

The previous prime is 10222211022071. The next prime is 10222211022137. The reversal of 10222211022111 is 11122011222201.

10222211022111 is a `hidden beast` number, since 1 + 0 + 222 + 211 + 0 + 221 + 11 = 666.

It is not a de Polignac number, because 10222211022111 - 2²⁵ = 10222177467679 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10222211022011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31602546 + ... + 31924368.

It is an arithmetic number, because the mean of its divisors is an integer number (671159446464).

Almost surely, 2^{10222211022111} is an apocalyptic number.

10222211022111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10222211022111 is a deficient number, since it is larger than the sum of its proper divisors (5885615693025).

10222211022111 is a wasteful number, since it uses less digits than its factorization.

10222211022111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642683 (or 642680 counting only the distinct ones).

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

Adding to 10222211022111 its reverse (11122011222201), we get a palindrome (21344222244312).

The spelling of 10222211022111 in words is "ten trillion, two hundred twenty-two billion, two hundred eleven million, twenty-two thousand, one hundred eleven".