112210101101120 has 224 divisors, whose sum is σ = 293146136543232. Its totient is φ = 40572204800000.

The previous prime is 112210101101083. The next prime is 112210101101177. The reversal of 112210101101120 is 21101101012211.

It is a super-2 number, since 2×112210101101120² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112210101101095 and 112210101101104.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1580588825 + ... + 1580659815.

It is an arithmetic number, because the mean of its divisors is an integer number (1308688109568).

Almost surely, 2^{112210101101120} is an apocalyptic number.

112210101101120 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 112210101101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146573068271616).

112210101101120 is an abundant number, since it is smaller than the sum of its proper divisors (180936035442112).

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

112210101101120 is a wasteful number, since it uses less digits than its factorization.

112210101101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73561 (or 73551 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 112210101101120 its reverse (21101101012211), we get a palindrome (133311202113331).

The spelling of 112210101101120 in words is "one hundred twelve trillion, two hundred ten billion, one hundred one million, one hundred one thousand, one hundred twenty".