11022002020100 has 72 divisors (see below), whose sum is σ = 24026973378408. Its totient is φ = 4388676812800.

The previous prime is 11022002020061. The next prime is 11022002020123. The reversal of 11022002020100 is 102020022011.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 5663628906244 + 5358373113856 = 2379838^2 + 2314816^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87568412 + ... + 87694188.

It is an arithmetic number, because the mean of its divisors is an integer number (333707963589).

Almost surely, 2^{11022002020100} is an apocalyptic number.

11022002020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11022002020100 is an abundant number, since it is smaller than the sum of its proper divisors (13004971358308).

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

11022002020100 is a wasteful number, since it uses less digits than its factorization.

11022002020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129785 (or 129778 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 11022002020100 its reverse (102020022011), we get a palindrome (11124022042111).

The spelling of 11022002020100 in words is "eleven trillion, twenty-two billion, two million, twenty thousand, one hundred".