11002122010100 has 72 divisors (see below), whose sum is σ = 25784784694200. Its totient is φ = 4050681914880.

The previous prime is 11002122010091. The next prime is 11002122010213. The reversal of 11002122010100 is 101022120011.

It can be written as a sum of positive squares in 12 ways, for example, as 3320288931556 + 7681833078544 = 1822166^2 + 2771612^2 .

It is a congruent number.

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, 11671187 + ... + 12578586.

Almost surely, 2^{11002122010100} is an apocalyptic number.

11002122010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11002122010100 is an abundant number, since it is smaller than the sum of its proper divisors (14782662684100).

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

11002122010100 is a wasteful number, since it uses less digits than its factorization.

11002122010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24250149 (or 24250142 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 11002122010100 its reverse (101022120011), we get a palindrome (11103144130111).

The spelling of 11002122010100 in words is "eleven trillion, two billion, one hundred twenty-two million, ten thousand, one hundred".