11002120213122 has 48 divisors (see below), whose sum is σ = 24443305679520. Its totient is φ = 3574413816000.

The previous prime is 11002120213027. The next prime is 11002120213127. The reversal of 11002120213122 is 22131202120011.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11002120213095 and 11002120213104.

It is not an unprimeable number, because it can be changed into a prime (11002120213127) by changing a digit.

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, 6563004 + ... + 8067047.

It is an arithmetic number, because the mean of its divisors is an integer number (509235534990).

Almost surely, 2^{11002120213122} is an apocalyptic number.

11002120213122 is an abundant number, since it is smaller than the sum of its proper divisors (13441185466398).

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

11002120213122 is a wasteful number, since it uses less digits than its factorization.

11002120213122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14631119 (or 14631116 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11002120213122 its reverse (22131202120011), we get a palindrome (33133322333133).

The spelling of 11002120213122 in words is "eleven trillion, two billion, one hundred twenty million, two hundred thirteen thousand, one hundred twenty-two".