11002101200010 has 256 divisors, whose sum is σ = 31209863086080. Its totient is φ = 2748428928000.

The previous prime is 11002101199979. The next prime is 11002101200053. The reversal of 11002101200010 is 1000210120011.

It is a happy number.

It is a super-2 number, since 2×11002101200010² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 11002101199965 and 11002101200001.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2542660467 + ... + 2542664793.

It is an arithmetic number, because the mean of its divisors is an integer number (121913527680).

Almost surely, 2^{11002101200010} is an apocalyptic number.

11002101200010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11002101200010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15604931543040).

11002101200010 is an abundant number, since it is smaller than the sum of its proper divisors (20207761886070).

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

11002101200010 is a wasteful number, since it uses less digits than its factorization.

11002101200010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6818 (or 6812 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11002101200010 its reverse (1000210120011), we get a palindrome (12002311320021).

The spelling of 11002101200010 in words is "eleven trillion, two billion, one hundred one million, two hundred thousand, ten".