2112101112012 has 96 divisors (see below), whose sum is σ = 5140456231680. Its totient is φ = 674126019840.

The previous prime is 2112101112007. The next prime is 2112101112053. The reversal of 2112101112012 is 2102111012112.

It is a happy number.

It is a super-2 number, since 2×2112101112012² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2112101111982 and 2112101112000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73519083 + ... + 73547805.

It is an arithmetic number, because the mean of its divisors is an integer number (53546419080).

Almost surely, 2^{2112101112012} 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 2112101112012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2570228115840).

2112101112012 is an abundant number, since it is smaller than the sum of its proper divisors (3028355119668).

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

2112101112012 is a wasteful number, since it uses less digits than its factorization.

2112101112012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30503 (or 30501 counting only the distinct ones).

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

Adding to 2112101112012 its reverse (2102111012112), we get a palindrome (4214212124124).

The spelling of 2112101112012 in words is "two trillion, one hundred twelve billion, one hundred one million, one hundred twelve thousand, twelve".