112112220201100 has 108 divisors (see below), whose sum is σ = 283125869722080. Its totient is φ = 38421824380800.

The previous prime is 112112220201097. The next prime is 112112220201103. The reversal of 112112220201100 is 1102022211211.

It is an interprime number because it is at equal distance from previous prime (112112220201097) and next prime (112112220201103).

It is not an unprimeable number, because it can be changed into a prime (112112220201103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6359565 + ... + 16268635.

It is an arithmetic number, because the mean of its divisors is an integer number (2621535830760).

Almost surely, 2^{112112220201100} is an apocalyptic number.

112112220201100 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 112112220201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141562934861040).

112112220201100 is an abundant number, since it is smaller than the sum of its proper divisors (171013649520980).

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

112112220201100 is a wasteful number, since it uses less digits than its factorization.

112112220201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9911408 (or 9911394 counting only the distinct ones).

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

Adding to 112112220201100 its reverse (1102022211211), we get a palindrome (113214242412311).

It can be divided in two parts, 1121 and 12220201100, that added together give a palindrome (12220202221).

The spelling of 112112220201100 in words is "one hundred twelve trillion, one hundred twelve billion, two hundred twenty million, two hundred one thousand, one hundred".