112212201201100 has 432 divisors, whose sum is σ = 330292853404416. Its totient is φ = 32131741824000.

The previous prime is 112212201201017. The next prime is 112212201201127. The reversal of 112212201201100 is 1102102212211.

It is a super-2 number, since 2×112212201201100² (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 143 ways as a sum of consecutive naturals, for example, 274369962 + ... + 274778638.

It is an arithmetic number, because the mean of its divisors is an integer number (764566790288).

Almost surely, 2^{112212201201100} is an apocalyptic number.

112212201201100 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 112212201201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165146426702208).

112212201201100 is an abundant number, since it is smaller than the sum of its proper divisors (218080652203316).

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

112212201201100 is a wasteful number, since it uses less digits than its factorization.

112212201201100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408946 (or 408926 counting only the distinct ones).

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

Adding to 112212201201100 its reverse (1102102212211), we get a palindrome (113314303413311).

The spelling of 112212201201100 in words is "one hundred twelve trillion, two hundred twelve billion, two hundred one million, two hundred one thousand, one hundred".