2211112102122 has 288 divisors, whose sum is σ = 6204692055744. Its totient is φ = 562587379200.

The previous prime is 2211112102099. The next prime is 2211112102153. The reversal of 2211112102122 is 2212012111122.

2211112102122 is a `hidden beast` number, since 221 + 111 + 210 + 2 + 122 = 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 = 2211112102095 and 2211112102104.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 117646758 + ... + 117665550.

It is an arithmetic number, because the mean of its divisors is an integer number (21544069638).

Almost surely, 2^{2211112102122} is an apocalyptic number.

2211112102122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2211112102122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3102346027872).

2211112102122 is an abundant number, since it is smaller than the sum of its proper divisors (3993579953622).

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

2211112102122 is a wasteful number, since it uses less digits than its factorization.

2211112102122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19074 (or 19064 counting only the distinct ones).

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

Adding to 2211112102122 its reverse (2212012111122), we get a palindrome (4423124213244).

The spelling of 2211112102122 in words is "two trillion, two hundred eleven billion, one hundred twelve million, one hundred two thousand, one hundred twenty-two".