112112000100211 has 8 divisors (see below), whose sum is σ = 114170774054400. Its totient is φ = 110058511831560.

The previous prime is 112112000100209. The next prime is 112112000100281. The reversal of 112112000100211 is 112001000211211.

It is a happy number.

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 112112000100211 - 2¹ = 112112000100209 is a prime.

It is a super-2 number, since 2×112112000100211² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 112112000100191 and 112112000100200.

It is not an unprimeable number, because it can be changed into a prime (112112000100281) 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, 1321378575 + ... + 1321463416.

It is an arithmetic number, because the mean of its divisors is an integer number (14271346756800).

Almost surely, 2^{112112000100211} is an apocalyptic number.

112112000100211 is a deficient number, since it is larger than the sum of its proper divisors (2058773954189).

112112000100211 is an equidigital number, since it uses as much as digits as its factorization.

112112000100211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2642842769.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 112112000100211 its reverse (112001000211211), we get a palindrome (224113000311422).

It can be divided in two parts, 112112000 and 100211, that added together give a palindrome (112212211).

The spelling of 112112000100211 in words is "one hundred twelve trillion, one hundred twelve billion, one hundred thousand, two hundred eleven".