11001012201120 has 96 divisors (see below), whose sum is σ = 34801914917952. Its totient is φ = 2921012652032.

The previous prime is 11001012201083. The next prime is 11001012201121. The reversal of 11001012201120 is 2110221010011.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×11001012201120³ (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 (12).

It is a junction number, because it is equal to n+sod(n) for n = 11001012201096 and 11001012201105.

It is not an unprimeable number, because it can be changed into a prime (11001012201121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49070082 + ... + 49293761.

It is an arithmetic number, because the mean of its divisors is an integer number (362519947062).

Almost surely, 2^{11001012201120} is an apocalyptic number.

11001012201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11001012201120 is an abundant number, since it is smaller than the sum of its proper divisors (23800902716832).

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

11001012201120 is a wasteful number, since it uses less digits than its factorization.

11001012201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98364094 (or 98364086 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11001012201120 its reverse (2110221010011), we get a palindrome (13111233211131).

The spelling of 11001012201120 in words is "eleven trillion, one billion, twelve million, two hundred one thousand, one hundred twenty".