10200001220 has 72 divisors (see below), whose sum is σ = 22265707464. Its totient is φ = 3924831232.

The previous prime is 10200001183. The next prime is 10200001247. The reversal of 10200001220 is 2210000201.

It can be written as a sum of positive squares in 12 ways, for example, as 2376952516 + 7823048704 = 48754^2 + 88448^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10200001198 and 10200001207.

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, 5330984 + ... + 5332896.

It is an arithmetic number, because the mean of its divisors is an integer number (309245937).

Almost surely, 2^10200001220 is an apocalyptic number.

10200001220 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 10200001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11132853732).

10200001220 is an abundant number, since it is smaller than the sum of its proper divisors (12065706244).

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

10200001220 is a wasteful number, since it uses less digits than its factorization.

10200001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2297 (or 2266 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 10200001220 its reverse (2210000201), we get a palindrome (12410001421).

The spelling of 10200001220 in words is "ten billion, two hundred million, one thousand, two hundred twenty".