2002111222122 has 64 divisors (see below), whose sum is σ = 4862103966720. Its totient is φ = 605637745200.

The previous prime is 2002111222121. The next prime is 2002111222147. The reversal of 2002111222122 is 2212221112002.

It is a happy number.

2002111222122 is a `hidden beast` number, since 200 + 211 + 12 + 221 + 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 = 2002111222095 and 2002111222104.

It is not an unprimeable number, because it can be changed into a prime (2002111222121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2612278 + ... + 3290625.

It is an arithmetic number, because the mean of its divisors is an integer number (75970374480).

Almost surely, 2^{2002111222122} is an apocalyptic number.

2002111222122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2002111222122 is an abundant number, since it is smaller than the sum of its proper divisors (2859992744598).

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

2002111222122 is a wasteful number, since it uses less digits than its factorization.

2002111222122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5903496 (or 5903490 counting only the distinct ones).

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

Adding to 2002111222122 its reverse (2212221112002), we get a palindrome (4214332334124).

The spelling of 2002111222122 in words is "two trillion, two billion, one hundred eleven million, two hundred twenty-two thousand, one hundred twenty-two".