112200211220101 has 8 divisors (see below), whose sum is σ = 112398310713240. Its totient is φ = 112002164322048.

The previous prime is 112200211220077. The next prime is 112200211220129. The reversal of 112200211220101 is 101022112002211.

It can be written as a sum of positive squares in 4 ways, for example, as 4357677125025 + 107842534095076 = 2087505^2 + 10384726^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 112200211220101 - 2¹⁵ = 112200211187333 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112200211229101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8877216 + ... + 17412793.

It is an arithmetic number, because the mean of its divisors is an integer number (14049788839155).

Almost surely, 2^{112200211220101} is an apocalyptic number.

It is an amenable number.

112200211220101 is a deficient number, since it is larger than the sum of its proper divisors (198099493139).

112200211220101 is an equidigital number, since it uses as much as digits as its factorization.

112200211220101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26297543.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 112200211220101 its reverse (101022112002211), we get a palindrome (213222323222312).

The spelling of 112200211220101 in words is "one hundred twelve trillion, two hundred billion, two hundred eleven million, two hundred twenty thousand, one hundred one".