112112022012100 has 144 divisors (see below), whose sum is σ = 273971665691136. Its totient is φ = 39451377024000.

The previous prime is 112112022012083. The next prime is 112112022012127. The reversal of 112112022012100 is 1210220211211.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1216539624 + ... + 1216631776.

It is an arithmetic number, because the mean of its divisors is an integer number (1902581011744).

Almost surely, 2^{112112022012100} is an apocalyptic number.

112112022012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112112022012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136985832845568).

112112022012100 is an abundant number, since it is smaller than the sum of its proper divisors (161859643679036).

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

112112022012100 is a wasteful number, since it uses less digits than its factorization.

112112022012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127886 (or 127879 counting only the distinct ones).

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

Adding to 112112022012100 its reverse (1210220211211), we get a palindrome (113322242223311).

The spelling of 112112022012100 in words is "one hundred twelve trillion, one hundred twelve billion, twenty-two million, twelve thousand, one hundred".