2010012010112 has 64 divisors (see below), whose sum is σ = 4049937662400. Its totient is φ = 993560561664.

The previous prime is 2010012010087. The next prime is 2010012010117. The reversal of 2010012010112 is 2110102100102.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 2010012010093 and 2010012010102.

It is not an unprimeable number, because it can be changed into a prime (2010012010117) 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, 121464623 + ... + 121481169.

It is an arithmetic number, because the mean of its divisors is an integer number (63280275975).

Almost surely, 2^{2010012010112} 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 2010012010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2024968831200).

2010012010112 is an abundant number, since it is smaller than the sum of its proper divisors (2039925652288).

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

2010012010112 is a wasteful number, since it uses less digits than its factorization.

2010012010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27313 (or 27301 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 2010012010112 its reverse (2110102100102), we get a palindrome (4120114110214).

The spelling of 2010012010112 in words is "two trillion, ten billion, twelve million, ten thousand, one hundred twelve".