211010021010012 has 288 divisors, whose sum is σ = 592448925600000. Its totient is φ = 58257645465600.

The previous prime is 211010021010011. The next prime is 211010021010017. The reversal of 211010021010012 is 210010120010112.

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 211010021010012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211010021010011) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 486824364 + ... + 487257612.

It is an arithmetic number, because the mean of its divisors is an integer number (2057114325000).

Almost surely, 2^{211010021010012} 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 211010021010012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296224462800000).

211010021010012 is an abundant number, since it is smaller than the sum of its proper divisors (381438904589988).

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

211010021010012 is a wasteful number, since it uses less digits than its factorization.

211010021010012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433569 (or 433560 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 211010021010012 its reverse (210010120010112), we get a palindrome (421020141020124).

The spelling of 211010021010012 in words is "two hundred eleven trillion, ten billion, twenty-one million, ten thousand, twelve".