11002121201220 has 96 divisors (see below), whose sum is σ = 31707766167168. Its totient is φ = 2848357757952.

The previous prime is 11002121201219. The next prime is 11002121201221. The reversal of 11002121201220 is 2210212120011.

It is an interprime number because it is at equal distance from previous prime (11002121201219) and next prime (11002121201221).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11002121201220.

It is not an unprimeable number, because it can be changed into a prime (11002121201221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4407682 + ... + 6436761.

It is an arithmetic number, because the mean of its divisors is an integer number (330289230908).

Almost surely, 2^{11002121201220} is an apocalyptic number.

11002121201220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11002121201220 is an abundant number, since it is smaller than the sum of its proper divisors (20705644965948).

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

11002121201220 is a wasteful number, since it uses less digits than its factorization.

11002121201220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10844949 (or 10844947 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 11002121201220 its reverse (2210212120011), we get a palindrome (13212333321231).

The spelling of 11002121201220 in words is "eleven trillion, two billion, one hundred twenty-one million, two hundred one thousand, two hundred twenty".