10021100000 has 144 divisors (see below), whose sum is σ = 25737790176. Its totient is φ = 3833280000.

The previous prime is 10021099987. The next prime is 10021100009. The reversal of 10021100000 is 112001.

It is a happy number.

10021100000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10021100009) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2297822 + ... + 2302178.

It is an arithmetic number, because the mean of its divisors is an integer number (178734654).

Almost surely, 2^10021100000 is an apocalyptic number.

10021100000 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 10021100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12868895088).

10021100000 is an abundant number, since it is smaller than the sum of its proper divisors (15716690176).

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

10021100000 is an frugal number, since it uses more digits than its factorization.

10021100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4415 (or 4387 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 10021100000 its reverse (112001), we get a palindrome (10021212001).

The spelling of 10021100000 in words is "ten billion, twenty-one million, one hundred thousand".