112122022001 has 12 divisors (see below), whose sum is σ = 123511297476. Its totient is φ = 101706021120.

The previous prime is 112122021941. The next prime is 112122022073. The reversal of 112122022001 is 100220221211.

It can be written as a sum of positive squares in 2 ways, for example, as 106553280625 + 5568741376 = 326425^2 + 74624^2 .

It is not a de Polignac number, because 112122022001 - 2³⁴ = 94942152817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (112122022081) 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 11 ways as a sum of consecutive naturals, for example, 958520 + ... + 1069113.

It is an arithmetic number, because the mean of its divisors is an integer number (10292608123).

Almost surely, 2^112122022001 is an apocalyptic number.

112122022001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112122022001 is a deficient number, since it is larger than the sum of its proper divisors (11389275475).

112122022001 is a wasteful number, since it uses less digits than its factorization.

112122022001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2028112 (or 2028101 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 112122022001 its reverse (100220221211), we get a palindrome (212342243212).

The spelling of 112122022001 in words is "one hundred twelve billion, one hundred twenty-two million, twenty-two thousand, one".