11002101110020 has 192 divisors, whose sum is σ = 24670749229056. Its totient is φ = 4114872783360.

The previous prime is 11002101109963. The next prime is 11002101110047. The reversal of 11002101110020 is 2001110120011.

It is a super-2 number, since 2×11002101110020² (a number of 27 digits) contains 22 as substring.

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 = 11002101109979 and 11002101110006.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 913562119 + ... + 913574161.

It is an arithmetic number, because the mean of its divisors is an integer number (128493485568).

Almost surely, 2^{11002101110020} is an apocalyptic number.

11002101110020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11002101110020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12335374614528).

11002101110020 is an abundant number, since it is smaller than the sum of its proper divisors (13668648119036).

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

11002101110020 is a wasteful number, since it uses less digits than its factorization.

11002101110020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12530 (or 12528 counting only the distinct ones).

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

Adding to 11002101110020 its reverse (2001110120011), we get a palindrome (13003211230031).

Subtracting from 11002101110020 its reverse (2001110120011), we obtain a palindrome (9000990990009).

The spelling of 11002101110020 in words is "eleven trillion, two billion, one hundred one million, one hundred ten thousand, twenty".