112100121102222 has 192 divisors, whose sum is σ = 274662902592000. Its totient is φ = 32731145314560.

The previous prime is 112100121102217. The next prime is 112100121102253. The reversal of 112100121102222 is 222201121001211.

112100121102222 is a `hidden beast` number, since 11 + 210 + 0 + 121 + 102 + 222 = 666.

It is a super-2 number, since 2×112100121102222² (a number of 29 digits) contains 22 as substring.

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 = 112100121102195 and 112100121102204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6608499513 + ... + 6608516475.

It is an arithmetic number, because the mean of its divisors is an integer number (1430535951000).

Almost surely, 2^{112100121102222} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112100121102222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137331451296000).

112100121102222 is an abundant number, since it is smaller than the sum of its proper divisors (162562781489778).

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

112100121102222 is a wasteful number, since it uses less digits than its factorization.

112100121102222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19303 (or 19300 counting only the distinct ones).

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

Adding to 112100121102222 its reverse (222201121001211), we get a palindrome (334301242103433).

The spelling of 112100121102222 in words is "one hundred twelve trillion, one hundred billion, one hundred twenty-one million, one hundred two thousand, two hundred twenty-two".