1100022021000 has 288 divisors, whose sum is σ = 4325108725080. Its totient is φ = 251433504000.

The previous prime is 1100022020959. The next prime is 1100022021029. The reversal of 1100022021000 is 1202200011.

It can be written as a sum of positive squares in 4 ways, for example, as 604577782116 + 495444238884 = 777546^2 + 703878^2 .

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 806191 + ... + 1688190.

Almost surely, 2^{1100022021000} is an apocalyptic number.

1100022021000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1100022021000 is an abundant number, since it is smaller than the sum of its proper divisors (3225086704080).

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

1100022021000 is a wasteful number, since it uses less digits than its factorization.

1100022021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2494422 (or 2494398 counting only the distinct ones).

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

Adding to 1100022021000 its reverse (1202200011), we get a palindrome (1101224221011).

The spelling of 1100022021000 in words is "one trillion, one hundred billion, twenty-two million, twenty-one thousand".