112122211002102 has 288 divisors, whose sum is σ = 295453702855584. Its totient is φ = 30611342361600.

The previous prime is 112122211002089. The next prime is 112122211002103. The reversal of 112122211002102 is 201200112221211.

112122211002102 is a `hidden beast` number, since 1 + 121 + 222 + 110 + 0 + 210 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112122211002103) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1124986152 + ... + 1125085812.

It is an arithmetic number, because the mean of its divisors is an integer number (1025880912693).

Almost surely, 2^{112122211002102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112122211002102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147726851427792).

112122211002102 is an abundant number, since it is smaller than the sum of its proper divisors (183331491853482).

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

112122211002102 is a wasteful number, since it uses less digits than its factorization.

112122211002102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100364 (or 100354 counting only the distinct ones).

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

Adding to 112122211002102 its reverse (201200112221211), we get a palindrome (313322323223313).

The spelling of 112122211002102 in words is "one hundred twelve trillion, one hundred twenty-two billion, two hundred eleven million, two thousand, one hundred two".