10021444300100 has 72 divisors (see below), whose sum is σ = 21877087901760. Its totient is φ = 3984522801280.

The previous prime is 10021444300073. The next prime is 10021444300111. The reversal of 10021444300100 is 100344412001.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80884799 + ... + 81008601.

It is an arithmetic number, because the mean of its divisors is an integer number (303848443080).

Almost surely, 2^{10021444300100} is an apocalyptic number.

10021444300100 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 10021444300100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10938543950880).

10021444300100 is an abundant number, since it is smaller than the sum of its proper divisors (11855643601660).

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

10021444300100 is a wasteful number, since it uses less digits than its factorization.

10021444300100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128669 (or 128662 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 10021444300100 its reverse (100344412001), we get a palindrome (10121788712101).

The spelling of 10021444300100 in words is "ten trillion, twenty-one billion, four hundred forty-four million, three hundred thousand, one hundred".