10144200220 has 192 divisors, whose sum is σ = 28259352576. Its totient is φ = 2961285120.

The previous prime is 10144200211. The next prime is 10144200221. The reversal of 10144200220 is 2200244101.

It is a junction number, because it is equal to n+sod(n) for n = 10144200194 and 10144200203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10144200221) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6099109 + ... + 6100771.

It is an arithmetic number, because the mean of its divisors is an integer number (147184128).

Almost surely, 2^10144200220 is an apocalyptic number.

10144200220 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 10144200220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14129676288).

10144200220 is an abundant number, since it is smaller than the sum of its proper divisors (18115152356).

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

10144200220 is a wasteful number, since it uses less digits than its factorization.

10144200220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1940 (or 1938 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 10144200220 its reverse (2200244101), we get a palindrome (12344444321).

The spelling of 10144200220 in words is "ten billion, one hundred forty-four million, two hundred thousand, two hundred twenty".