10200022220220 has 288 divisors, whose sum is σ = 33791130354240. Its totient is φ = 2291613327360.

The previous prime is 10200022220209. The next prime is 10200022220221. The reversal of 10200022220220 is 2202222000201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10200022220220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10200022220221) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 267018162 + ... + 267056358.

It is an arithmetic number, because the mean of its divisors is an integer number (117330313730).

Almost surely, 2^{10200022220220} is an apocalyptic number.

10200022220220 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 10200022220220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16895565177120).

10200022220220 is an abundant number, since it is smaller than the sum of its proper divisors (23591108134020).

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

10200022220220 is a wasteful number, since it uses less digits than its factorization.

10200022220220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39773 (or 39764 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 10200022220220 its reverse (2202222000201), we get a palindrome (12402244220421).

The spelling of 10200022220220 in words is "ten trillion, two hundred billion, twenty-two million, two hundred twenty thousand, two hundred twenty".