112212101001 has 192 divisors, whose sum is σ = 206431027200. Its totient is φ = 52640640000.

The previous prime is 112212100999. The next prime is 112212101039. The reversal of 112212101001 is 100101212211.

It is not a de Polignac number, because 112212101001 - 2¹ = 112212100999 is a prime.

It is a super-2 number, since 2×112212101001² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (112212101051) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 587497816 + ... + 587498006.

It is an arithmetic number, because the mean of its divisors is an integer number (1075161600).

Almost surely, 2^112212101001 is an apocalyptic number.

112212101001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112212101001 is a deficient number, since it is larger than the sum of its proper divisors (94218926199).

112212101001 is a wasteful number, since it uses less digits than its factorization.

112212101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 112212101001 its reverse (100101212211), we get a palindrome (212313313212).

It can be divided in two parts, 11221210 and 1001, that added together give a palindrome (11222211).

The spelling of 112212101001 in words is "one hundred twelve billion, two hundred twelve million, one hundred one thousand, one".