10111122112221 has 24 divisors (see below), whose sum is σ = 15728748792120. Its totient is φ = 6222095824896.

The previous prime is 10111122112207. The next prime is 10111122112253. The reversal of 10111122112221 is 12221122111101.

It is a happy number.

10111122112221 is a `hidden beast` number, since 101 + 111 + 221 + 12 + 221 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 474288406596 + 9636833705625 = 688686^2 + 3104325^2 .

It is not a de Polignac number, because 10111122112221 - 2¹⁸ = 10111121850077 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10111122112194 and 10111122112203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111122111221) 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, 4711585 + ... + 6513161.

It is an arithmetic number, because the mean of its divisors is an integer number (655364533005).

Almost surely, 2^{10111122112221} is an apocalyptic number.

It is an amenable number.

10111122112221 is a deficient number, since it is larger than the sum of its proper divisors (5617626679899).

10111122112221 is a wasteful number, since it uses less digits than its factorization.

10111122112221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1849565 (or 1849562 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 10111122112221 its reverse (12221122111101), we get a palindrome (22332244223322).

The spelling of 10111122112221 in words is "ten trillion, one hundred eleven billion, one hundred twenty-two million, one hundred twelve thousand, two hundred twenty-one".