112212112101001 has 12 divisors (see below), whose sum is σ = 124561779963012. Its totient is φ = 101001000980000.

The previous prime is 112212112100983. The next prime is 112212112101097. The reversal of 112212112101001 is 100101211212211.

It can be written as a sum of positive squares in 2 ways, for example, as 83888215220601 + 28323896880400 = 9159051^2 + 5322020^2 .

It is not a de Polignac number, because 112212112101001 - 2⁴¹ = 110013088845449 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (112212112101601) 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, 4590942370 + ... + 4590966811.

It is an arithmetic number, because the mean of its divisors is an integer number (10380148330251).

Almost surely, 2^{112212112101001} is an apocalyptic number.

112212112101001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112212112101001 is a deficient number, since it is larger than the sum of its proper divisors (12349667862011).

112212112101001 is a wasteful number, since it uses less digits than its factorization.

112212112101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9181909304 (or 9181909293 counting only the distinct ones).

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

Adding to 112212112101001 its reverse (100101211212211), we get a palindrome (212313323313212).

It can be divided in two parts, 11221211210 and 1001, that added together give a palindrome (11221212211).

The spelling of 112212112101001 in words is "one hundred twelve trillion, two hundred twelve billion, one hundred twelve million, one hundred one thousand, one".