44142220100 has 72 divisors (see below), whose sum is σ = 105044276736. Its totient is φ = 15967600000.

The previous prime is 44142220097. The next prime is 44142220121. The reversal of 44142220100 is 102224144.

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, 105050 + ... + 315150.

It is an arithmetic number, because the mean of its divisors is an integer number (1458948288).

Almost surely, 2^44142220100 is an apocalyptic number.

It is a pronic number, being equal to 210100×210101.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44142220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52522138368).

44142220100 is an abundant number, since it is smaller than the sum of its proper divisors (60902056636).

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

44142220100 is a wasteful number, since it uses less digits than its factorization.

44142220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210317 (or 210310 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 44142220100 its reverse (102224144), we get a palindrome (44244444244).

The spelling of 44142220100 in words is "forty-four billion, one hundred forty-two million, two hundred twenty thousand, one hundred".