10211120000 has 160 divisors (see below), whose sum is σ = 25675062600. Its totient is φ = 4043520000.

The previous prime is 10211119999. The next prime is 10211120009. The reversal of 10211120000 is 2111201.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 10211120000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211120009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8719415 + ... + 8720585.

Almost surely, 2^10211120000 is an apocalyptic number.

10211120000 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 10211120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12837531300).

10211120000 is an abundant number, since it is smaller than the sum of its proper divisors (15463942600).

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

10211120000 is an equidigital number, since it uses as much as digits as its factorization.

10211120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10211120000 its reverse (2111201), we get a palindrome (10213231201).

The spelling of 10211120000 in words is "ten billion, two hundred eleven million, one hundred twenty thousand".