2002100020112 has 40 divisors (see below), whose sum is σ = 4106151445440. Its totient is φ = 944053568640.

The previous prime is 2002100020013. The next prime is 2002100020133. The reversal of 2002100020112 is 2110200012002.

It is a happy number.

It is a super-3 number, since 3×2002100020112³ (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2002100020093 and 2002100020102.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50152964 + ... + 50192867.

It is an arithmetic number, because the mean of its divisors is an integer number (102653786136).

Almost surely, 2^{2002100020112} is an apocalyptic number.

It is an amenable number.

2002100020112 is an abundant number, since it is smaller than the sum of its proper divisors (2104051425328).

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

2002100020112 is a wasteful number, since it uses less digits than its factorization.

2002100020112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100345911 (or 100345905 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 2002100020112 its reverse (2110200012002), we get a palindrome (4112300032114).

The spelling of 2002100020112 in words is "two trillion, two billion, one hundred million, twenty thousand, one hundred twelve".