112202121102120 has 768 divisors, whose sum is σ = 426694674631680. Its totient is φ = 25043116032000.

The previous prime is 112202121102107. The next prime is 112202121102151. The reversal of 112202121102120 is 21201121202211.

112202121102120 is a `hidden beast` number, since 1 + 1 + 220 + 21 + 211 + 0 + 212 + 0 = 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 = 112202121102093 and 112202121102102.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7233705165 + ... + 7233720675.

It is an arithmetic number, because the mean of its divisors is an integer number (555592024260).

Almost surely, 2^{112202121102120} is an apocalyptic number.

112202121102120 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 112202121102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213347337315840).

112202121102120 is an abundant number, since it is smaller than the sum of its proper divisors (314492553529560).

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

112202121102120 is a wasteful number, since it uses less digits than its factorization.

112202121102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16026 (or 16019 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 112202121102120 its reverse (21201121202211), we get a palindrome (133403242304331).

The spelling of 112202121102120 in words is "one hundred twelve trillion, two hundred two billion, one hundred twenty-one million, one hundred two thousand, one hundred twenty".