112200101001 has 6 divisors (see below), whose sum is σ = 162066812570. Its totient is φ = 74800067328.

The previous prime is 112200100973. The next prime is 112200101009. The reversal of 112200101001 is 100101002211.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 61821849600 + 50378251401 = 248640^2 + 224451^2 .

It is not a de Polignac number, because 112200101001 - 2²³ = 112191712393 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 12466677889 = 112200101001 / (1 + 1 + 2 + 2 + 0 + 0 + 1 + 0 + 1 + 0 + 0 + 1).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (112200101009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6233338936 + ... + 6233338953.

Almost surely, 2^112200101001 is an apocalyptic number.

It is an amenable number.

112200101001 is a deficient number, since it is larger than the sum of its proper divisors (49866711569).

112200101001 is a wasteful number, since it uses less digits than its factorization.

112200101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12466677895 (or 12466677892 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 112200101001 its reverse (100101002211), we get a palindrome (212301103212).

The spelling of 112200101001 in words is "one hundred twelve billion, two hundred million, one hundred one thousand, one".