112220221120101 has 12 divisors (see below), whose sum is σ = 171630926419212. Its totient is φ = 70412687761536.

The previous prime is 112220221120099. The next prime is 112220221120103. The reversal of 112220221120101 is 101021122022211.

112220221120101 is a `hidden beast` number, since 1 + 1 + 2 + 220 + 221 + 120 + 101 = 666.

It is an interprime number because it is at equal distance from previous prime (112220221120099) and next prime (112220221120103).

It can be written as a sum of positive squares in 2 ways, for example, as 81967691067201 + 30252530052900 = 9053601^2 + 5500230^2 .

It is not a de Polignac number, because 112220221120101 - 2¹ = 112220221120099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112220221120103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 366732748606 + ... + 366732748911.

It is an arithmetic number, because the mean of its divisors is an integer number (14302577201601).

Almost surely, 2^{112220221120101} is an apocalyptic number.

It is an amenable number.

112220221120101 is a deficient number, since it is larger than the sum of its proper divisors (59410705299111).

112220221120101 is a wasteful number, since it uses less digits than its factorization.

112220221120101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733465497540 (or 733465497537 counting only the distinct ones).

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

Adding to 112220221120101 its reverse (101021122022211), we get a palindrome (213241343142312).

The spelling of 112220221120101 in words is "one hundred twelve trillion, two hundred twenty billion, two hundred twenty-one million, one hundred twenty thousand, one hundred one".