2002200102112 has 96 divisors (see below), whose sum is σ = 4621138409664. Its totient is φ = 836011929600.

The previous prime is 2002200102103. The next prime is 2002200102121. The reversal of 2002200102112 is 2112010022002.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2002200102103) and next prime (2002200102121).

It is a junction number, because it is equal to n+sod(n) for n = 2002200102092 and 2002200102101.

It is a congruent number.

It is an unprimeable number.

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, 6583162 + ... + 6880582.

It is an arithmetic number, because the mean of its divisors is an integer number (48136858434).

Almost surely, 2^{2002200102112} 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 2002200102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2310569204832).

2002200102112 is an abundant number, since it is smaller than the sum of its proper divisors (2618938307552).

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

2002200102112 is a wasteful number, since it uses less digits than its factorization.

2002200102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298212 (or 298204 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 2002200102112 its reverse (2112010022002), we get a palindrome (4114210124114).

The spelling of 2002200102112 in words is "two trillion, two billion, two hundred million, one hundred two thousand, one hundred twelve".