201210002112 has 56 divisors (see below), whose sum is σ = 608420724736. Its totient is φ = 57488571648.

The previous prime is 201210002069. The next prime is 201210002113. The reversal of 201210002112 is 211200012102.

201210002112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×201210002112² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (201210002113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74853568 + ... + 74856255.

Almost surely, 2^201210002112 is an apocalyptic number.

It is an amenable number.

201210002112 is an abundant number, since it is smaller than the sum of its proper divisors (407210722624).

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

201210002112 is a wasteful number, since it uses less digits than its factorization.

201210002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149709845 (or 149709835 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 201210002112 its reverse (211200012102), we get a palindrome (412410014214).

The spelling of 201210002112 in words is "two hundred one billion, two hundred ten million, two thousand, one hundred twelve".