2010010010112 has 240 divisors, whose sum is σ = 6276905002368. Its totient is φ = 615529635840.

The previous prime is 2010010010101. The next prime is 2010010010117. The reversal of 2010010010112 is 2110100100102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2010010010094 and 2010010010103.

It is not an unprimeable number, because it can be changed into a prime (2010010010117) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12560233 + ... + 12719255.

Almost surely, 2^{2010010010112} 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 2010010010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3138452501184).

2010010010112 is an abundant number, since it is smaller than the sum of its proper divisors (4266894992256).

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

2010010010112 is a wasteful number, since it uses less digits than its factorization.

2010010010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159271 (or 159252 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 2010010010112 its reverse (2110100100102), we get a palindrome (4120110110214).

The spelling of 2010010010112 in words is "two trillion, ten billion, ten million, ten thousand, one hundred twelve".