112022112012100 has 18 divisors (see below), whose sum is σ = 243087983066474. Its totient is φ = 44808844804800.

The previous prime is 112022112012071. The next prime is 112022112012233. The reversal of 112022112012100 is 1210211220211.

It can be written as a sum of positive squares in 3 ways, for example, as 2243980032064 + 109778131980036 = 1497992^2 + 10477506^2 .

It is a super-2 number, since 2×112022112012100² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 560110559961 + ... + 560110560160.

Almost surely, 2^{112022112012100} is an apocalyptic number.

112022112012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112022112012100 is an abundant number, since it is smaller than the sum of its proper divisors (131065871054374).

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

112022112012100 is a wasteful number, since it uses less digits than its factorization.

112022112012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120221120135 (or 1120221120128 counting only the distinct ones).

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

Adding to 112022112012100 its reverse (1210211220211), we get a palindrome (113232323232311).

The spelling of 112022112012100 in words is "one hundred twelve trillion, twenty-two billion, one hundred twelve million, twelve thousand, one hundred".