10000211002012 has 192 divisors, whose sum is σ = 22180648089600. Its totient is φ = 3832130534400.

The previous prime is 10000211001959. The next prime is 10000211002043. The reversal of 10000211002012 is 21020011200001.

It is a self number, because there is not a number n which added to its sum of digits gives 10000211002012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5130943614 + ... + 5130945562.

It is an arithmetic number, because the mean of its divisors is an integer number (115524208800).

Almost surely, 2^{10000211002012} 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 10000211002012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11090324044800).

10000211002012 is an abundant number, since it is smaller than the sum of its proper divisors (12180437087588).

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

10000211002012 is a wasteful number, since it uses less digits than its factorization.

10000211002012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3092 (or 3090 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10000211002012 its reverse (21020011200001), we get a palindrome (31020222202013).

The spelling of 10000211002012 in words is "ten trillion, two hundred eleven million, two thousand, twelve".