11002121112120 has 128 divisors (see below), whose sum is σ = 33045440762880. Its totient is φ = 2930426816000.

The previous prime is 11002121112107. The next prime is 11002121112179. The reversal of 11002121112120 is 2121112120011.

It is a happy number.

It is a super-2 number, since 2×11002121112120² (a number of 27 digits) contains 22 as substring.

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 11002121112120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 727116955 + ... + 727132085.

It is an arithmetic number, because the mean of its divisors is an integer number (258167505960).

Almost surely, 2^{11002121112120} is an apocalyptic number.

11002121112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11002121112120 is an abundant number, since it is smaller than the sum of its proper divisors (22043319650760).

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

11002121112120 is a wasteful number, since it uses less digits than its factorization.

11002121112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21917 (or 21913 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 11002121112120 its reverse (2121112120011), we get a palindrome (13123233232131).

The spelling of 11002121112120 in words is "eleven trillion, two billion, one hundred twenty-one million, one hundred twelve thousand, one hundred twenty".