2002101122112 has 448 divisors, whose sum is σ = 6761668569600. Its totient is φ = 508519710720.

The previous prime is 2002101122089. The next prime is 2002101122123. The reversal of 2002101122112 is 2112211012002.

It is a tau number, because it is divible by the number of its divisors (448).

It is a junction number, because it is equal to n+sod(n) for n = 2002101122091 and 2002101122100.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 207230562 + ... + 207240222.

It is an arithmetic number, because the mean of its divisors is an integer number (15093010200).

Almost surely, 2^{2002101122112} 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 2002101122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3380834284800).

2002101122112 is an abundant number, since it is smaller than the sum of its proper divisors (4759567447488).

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

2002101122112 is a wasteful number, since it uses less digits than its factorization.

2002101122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10134 (or 10124 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 2002101122112 its reverse (2112211012002), we get a palindrome (4114312134114).

The spelling of 2002101122112 in words is "two trillion, two billion, one hundred one million, one hundred twenty-two thousand, one hundred twelve".