112101221465200 has 240 divisors, whose sum is σ = 305144093099520. Its totient is φ = 39220539136000.

The previous prime is 112101221465197. The next prime is 112101221465239. The reversal of 112101221465200 is 2564122101211.

It is a super-2 number, since 2×112101221465200² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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, 7607340 + ... + 16795060.

It is an arithmetic number, because the mean of its divisors is an integer number (1271433721248).

Almost surely, 2^{112101221465200} is an apocalyptic number.

112101221465200 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 112101221465200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152572046549760).

112101221465200 is an abundant number, since it is smaller than the sum of its proper divisors (193042871634320).

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

112101221465200 is a wasteful number, since it uses less digits than its factorization.

112101221465200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9187856 (or 9187845 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

Adding to 112101221465200 its reverse (2564122101211), we get a palindrome (114665343566411).

The spelling of 112101221465200 in words is "one hundred twelve trillion, one hundred one billion, two hundred twenty-one million, four hundred sixty-five thousand, two hundred".