10211111120000 has 640 divisors, whose sum is σ = 30565353456000. Its totient is φ = 3322626048000.

The previous prime is 10211111119949. The next prime is 10211111120051. The reversal of 10211111120000 is 2111111201.

It is an interprime number because it is at equal distance from previous prime (10211111119949) and next prime (10211111120051).

It is a tau number, because it is divible by the number of its divisors (640).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 958154672 + ... + 958165328.

It is an arithmetic number, because the mean of its divisors is an integer number (47758364775).

Almost surely, 2^{10211111120000} is an apocalyptic number.

10211111120000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10211111120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15282676728000).

10211111120000 is an abundant number, since it is smaller than the sum of its proper divisors (20354242336000).

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

10211111120000 is an equidigital number, since it uses as much as digits as its factorization.

10211111120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10786 (or 10759 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10211111120000 its reverse (2111111201), we get a palindrome (10213222231201).

The spelling of 10211111120000 in words is "ten trillion, two hundred eleven billion, one hundred eleven million, one hundred twenty thousand".