112100103221220 has 240 divisors, whose sum is σ = 352599423200640. Its totient is φ = 29813790859776.

The previous prime is 112100103221201. The next prime is 112100103221263. The reversal of 112100103221220 is 22122301001211.

112100103221220 is a `hidden beast` number, since 1 + 1 + 210 + 0 + 10 + 3 + 221 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 112100103221193 and 112100103221202.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 966497191 + ... + 966613169.

It is an arithmetic number, because the mean of its divisors is an integer number (1469164263336).

Almost surely, 2^{112100103221220} is an apocalyptic number.

112100103221220 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 112100103221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176299711600320).

112100103221220 is an abundant number, since it is smaller than the sum of its proper divisors (240499319979420).

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

112100103221220 is a wasteful number, since it uses less digits than its factorization.

112100103221220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117584 (or 117573 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 112100103221220 its reverse (22122301001211), we get a palindrome (134222404222431).

The spelling of 112100103221220 in words is "one hundred twelve trillion, one hundred billion, one hundred three million, two hundred twenty-one thousand, two hundred twenty".