2011202010012 has 192 divisors, whose sum is σ = 5116097645568. Its totient is φ = 611270400000.

The previous prime is 2011202009909. The next prime is 2011202010073. The reversal of 2011202010012 is 2100102021102.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2011202010012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3860272312 + ... + 3860272832.

It is an arithmetic number, because the mean of its divisors is an integer number (26646341904).

Almost surely, 2^{2011202010012} 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 2011202010012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2558048822784).

2011202010012 is an abundant number, since it is smaller than the sum of its proper divisors (3104895635556).

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

2011202010012 is a wasteful number, since it uses less digits than its factorization.

2011202010012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1420 (or 1418 counting only the distinct ones).

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

Adding to 2011202010012 its reverse (2100102021102), we get a palindrome (4111304031114).

The spelling of 2011202010012 in words is "two trillion, eleven billion, two hundred two million, ten thousand, twelve".