1001200221220 has 48 divisors (see below), whose sum is σ = 2229139528560. Its totient is φ = 376424423424.

The previous prime is 1001200221193. The next prime is 1001200221239. The reversal of 1001200221220 is 221220021001.

It is a happy number.

1001200221220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 78113542144 + 923086679076 = 279488^2 + 960774^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1001200221220.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1687605 + ... + 2202364.

It is an arithmetic number, because the mean of its divisors is an integer number (46440406845).

Almost surely, 2^{1001200221220} is an apocalyptic number.

1001200221220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001200221220 is an abundant number, since it is smaller than the sum of its proper divisors (1227939307340).

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

1001200221220 is a wasteful number, since it uses less digits than its factorization.

1001200221220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3890752 (or 3890750 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 1001200221220 its reverse (221220021001), we get a palindrome (1222420242221).

The spelling of 1001200221220 in words is "one trillion, one billion, two hundred million, two hundred twenty-one thousand, two hundred twenty".