4422120012101 has 72 divisors (see below), whose sum is σ = 5215228691400. Its totient is φ = 3743951411200.

The previous prime is 4422120012097. The next prime is 4422120012113. The reversal of 4422120012101 is 1012100212244.

It can be written as a sum of positive squares in 12 ways, for example, as 2711258628100 + 1710861384001 = 1646590^2 + 1307999^2 .

It is not a de Polignac number, because 4422120012101 - 2² = 4422120012097 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4422120012161) 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 71 ways as a sum of consecutive naturals, for example, 371319935 + ... + 371331843.

It is an arithmetic number, because the mean of its divisors is an integer number (72433731825).

Almost surely, 2^{4422120012101} is an apocalyptic number.

4422120012101 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

4422120012101 is a deficient number, since it is larger than the sum of its proper divisors (793108679299).

4422120012101 is a wasteful number, since it uses less digits than its factorization.

4422120012101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12119 (or 12079 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 4422120012101 its reverse (1012100212244), we get a palindrome (5434220224345).

The spelling of 4422120012101 in words is "four trillion, four hundred twenty-two billion, one hundred twenty million, twelve thousand, one hundred one".