2002010222112 has 96 divisors (see below), whose sum is σ = 5351597475840. Its totient is φ = 655184221440.

The previous prime is 2002010222101. The next prime is 2002010222119. The reversal of 2002010222112 is 2112220102002.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 2002010222091 and 2002010222100.

It is not an unprimeable number, because it can be changed into a prime (2002010222119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1014543 + ... + 2243505.

It is an arithmetic number, because the mean of its divisors is an integer number (55745807040).

Almost surely, 2^{2002010222112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002010222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2675798737920).

2002010222112 is an abundant number, since it is smaller than the sum of its proper divisors (3349587253728).

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

2002010222112 is a wasteful number, since it uses less digits than its factorization.

2002010222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229286 (or 1229278 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 2002010222112 its reverse (2112220102002), we get a palindrome (4114230324114).

The spelling of 2002010222112 in words is "two trillion, two billion, ten million, two hundred twenty-two thousand, one hundred twelve".