1100020221000 has 192 divisors, whose sum is σ = 3726147625200. Its totient is φ = 292701312000.

The previous prime is 1100020220983. The next prime is 1100020221031. The reversal of 1100020221000 is 1220200011.

It can be written as a sum of positive squares in 8 ways, for example, as 61932295044 + 1038087925956 = 248862^2 + 1018866^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4016436 + ... + 4281564.

Almost surely, 2^{1100020221000} is an apocalyptic number.

1100020221000 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 1100020221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1863073812600).

1100020221000 is an abundant number, since it is smaller than the sum of its proper divisors (2626127404200).

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

1100020221000 is a wasteful number, since it uses less digits than its factorization.

1100020221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265617 (or 265600 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1100020221000 its reverse (1220200011), we get a palindrome (1101240421011).

The spelling of 1100020221000 in words is "one trillion, one hundred billion, twenty million, two hundred twenty-one thousand".