112201210112020 has 48 divisors (see below), whose sum is σ = 250383350463120. Its totient is φ = 42087962916864.

The previous prime is 112201210111937. The next prime is 112201210112029. The reversal of 112201210112020 is 20211012102211.

It can be written as a sum of positive squares in 8 ways, for example, as 4853085632784 + 107348124479236 = 2202972^2 + 10360894^2 .

It is a super-2 number, since 2×112201210112020² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112201210111985 and 112201210112003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112201210112029) 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 15 ways as a sum of consecutive naturals, for example, 595580115 + ... + 595768474.

It is an arithmetic number, because the mean of its divisors is an integer number (5216319801315).

Almost surely, 2^{112201210112020} is an apocalyptic number.

112201210112020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112201210112020 is an abundant number, since it is smaller than the sum of its proper divisors (138182140351100).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

112201210112020 is a wasteful number, since it uses less digits than its factorization.

112201210112020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1191348892 (or 1191348890 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 112201210112020 its reverse (20211012102211), we get a palindrome (132412222214231).

The spelling of 112201210112020 in words is "one hundred twelve trillion, two hundred one billion, two hundred ten million, one hundred twelve thousand, twenty".