2101112112012 has 24 divisors (see below), whose sum is σ = 4902936049200. Its totient is φ = 700321972416.

The previous prime is 2101112111971. The next prime is 2101112112037. The reversal of 2101112112012 is 2102112111012.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2101112111982 and 2101112112000.

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 7 ways as a sum of consecutive naturals, for example, 5911587 + ... + 6256922.

It is an arithmetic number, because the mean of its divisors is an integer number (204289002050).

Almost surely, 2^{2101112112012} is an apocalyptic number.

It is an amenable number.

2101112112012 is an abundant number, since it is smaller than the sum of its proper divisors (2801823937188).

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

2101112112012 is a wasteful number, since it uses less digits than its factorization.

2101112112012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12182905 (or 12182903 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 2101112112012 its reverse (2102112111012), we get a palindrome (4203224223024).

The spelling of 2101112112012 in words is "two trillion, one hundred one billion, one hundred twelve million, one hundred twelve thousand, twelve".