10201044420 has 180 divisors, whose sum is σ = 37226005740. Its totient is φ = 2331649152.

The previous prime is 10201044409. The next prime is 10201044431. The reversal of 10201044420 is 2444010201.

10201044420 is a `hidden beast` number, since 1 + 0 + 201 + 0 + 44 + 420 = 666.

It is an interprime number because it is at equal distance from previous prime (10201044409) and next prime (10201044431).

It can be written as a sum of positive squares in 2 ways, for example, as 5791818816 + 4409225604 = 76104^2 + 66402^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×10201044420² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10201044393 and 10201044402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 15126 + ... + 143634.

It is an arithmetic number, because the mean of its divisors is an integer number (206811143).

Almost surely, 2^10201044420 is an apocalyptic number.

10201044420 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 10201044420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18613002870).

10201044420 is an abundant number, since it is smaller than the sum of its proper divisors (27024961320).

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

10201044420 is a wasteful number, since it uses less digits than its factorization.

10201044420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128544 (or 128526 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 10201044420 its reverse (2444010201), we get a palindrome (12645054621).

The spelling of 10201044420 in words is "ten billion, two hundred one million, forty-four thousand, four hundred twenty".