2011102002112 has 56 divisors (see below), whose sum is σ = 4561142942720. Its totient is φ = 861853443840.

The previous prime is 2011102002097. The next prime is 2011102002113. The reversal of 2011102002112 is 2112002011102.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 2011102002092 and 2011102002101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011102002113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8738437 + ... + 8965627.

It is an arithmetic number, because the mean of its divisors is an integer number (81448981120).

Almost surely, 2^{2011102002112} is an apocalyptic number.

It is an amenable number.

2011102002112 is an abundant number, since it is smaller than the sum of its proper divisors (2550040940608).

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

2011102002112 is a wasteful number, since it uses less digits than its factorization.

2011102002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246969 (or 246959 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2011102002112 its reverse (2112002011102), we get a palindrome (4123104013214).

The spelling of 2011102002112 in words is "two trillion, eleven billion, one hundred two million, two thousand, one hundred twelve".