112100221101220 has 384 divisors, whose sum is σ = 270485720451072. Its totient is φ = 38672289792000.

The previous prime is 112100221101199. The next prime is 112100221101229. The reversal of 112100221101220 is 22101122001211.

It is a junction number, because it is equal to n+sod(n) for n = 112100221101194 and 112100221101203.

It is not an unprimeable number, because it can be changed into a prime (112100221101229) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10444438974 + ... + 10444449706.

It is an arithmetic number, because the mean of its divisors is an integer number (704389897008).

Almost surely, 2^{112100221101220} is an apocalyptic number.

112100221101220 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 112100221101220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135242860225536).

112100221101220 is an abundant number, since it is smaller than the sum of its proper divisors (158385499349852).

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

112100221101220 is a wasteful number, since it uses less digits than its factorization.

112100221101220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11111 (or 11109 counting only the distinct ones).

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

Adding to 112100221101220 its reverse (22101122001211), we get a palindrome (134201343102431).

It can be divided in two parts, 1121002 and 21101220, that added together give a palindrome (22222222).

The spelling of 112100221101220 in words is "one hundred twelve trillion, one hundred billion, two hundred twenty-one million, one hundred one thousand, two hundred twenty".