2102202211122 has 288 divisors, whose sum is σ = 5389200086400. Its totient is φ = 589619616768.

The previous prime is 2102202211097. The next prime is 2102202211127. The reversal of 2102202211122 is 2211122022012.

It is a happy number.

2102202211122 is a `hidden beast` number, since 210 + 220 + 2 + 211 + 1 + 22 = 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 = 2102202211095 and 2102202211104.

It is not an unprimeable number, because it can be changed into a prime (2102202211127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 524630443 + ... + 524634449.

It is an arithmetic number, because the mean of its divisors is an integer number (18712500300).

Almost surely, 2^{2102202211122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2102202211122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2694600043200).

2102202211122 is an abundant number, since it is smaller than the sum of its proper divisors (3286997875278).

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

2102202211122 is a wasteful number, since it uses less digits than its factorization.

2102202211122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4402 (or 4386 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2102202211122 its reverse (2211122022012), we get a palindrome (4313324233134).

The spelling of 2102202211122 in words is "two trillion, one hundred two billion, two hundred two million, two hundred eleven thousand, one hundred twenty-two".