11002011011020 has 48 divisors (see below), whose sum is σ = 23597592697728. Its totient is φ = 4306843457280.

The previous prime is 11002011011009. The next prime is 11002011011063. The reversal of 11002011011020 is 2011011020011.

It is a super-3 number, since 3×11002011011020³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 11002011010988 and 11002011011006.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12140794 + ... + 13015486.

It is an arithmetic number, because the mean of its divisors is an integer number (491616514536).

Almost surely, 2^{11002011011020} is an apocalyptic number.

11002011011020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11002011011020 is an abundant number, since it is smaller than the sum of its proper divisors (12595581686708).

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

11002011011020 is a wasteful number, since it uses less digits than its factorization.

11002011011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888130 (or 888128 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 11002011011020 its reverse (2011011020011), we get a palindrome (13013022031031).

The spelling of 11002011011020 in words is "eleven trillion, two billion, eleven million, eleven thousand, twenty".