10000211120 has 80 divisors (see below), whose sum is σ = 23551305120. Its totient is φ = 3948552192.

The previous prime is 10000211099. The next prime is 10000211159. The reversal of 10000211120 is 2111200001.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a junction number, because it is equal to n+sod(n) for n = 10000211098 and 10000211107.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3436226 + ... + 3439134.

It is an arithmetic number, because the mean of its divisors is an integer number (294391314).

Almost surely, 2^10000211120 is an apocalyptic number.

10000211120 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 10000211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11775652560).

10000211120 is an abundant number, since it is smaller than the sum of its proper divisors (13551094000).

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

10000211120 is a wasteful number, since it uses less digits than its factorization.

10000211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3462 (or 3456 counting only the distinct ones).

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

Adding to 10000211120 its reverse (2111200001), we get a palindrome (12111411121).

The spelling of 10000211120 in words is "ten billion, two hundred eleven thousand, one hundred twenty".