11220101121000 has 64 divisors (see below), whose sum is σ = 35006715506880. Its totient is φ = 2992026964800.

The previous prime is 11220101120999. The next prime is 11220101121001. The reversal of 11220101121000 is 12110102211.

It is an interprime number because it is at equal distance from previous prime (11220101120999) and next prime (11220101121001).

It is a super-3 number, since 3×11220101121000³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (11220101121001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1870013854 + ... + 1870019853.

It is an arithmetic number, because the mean of its divisors is an integer number (546979929795).

Almost surely, 2^{11220101121000} is an apocalyptic number.

11220101121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11220101121000 is an abundant number, since it is smaller than the sum of its proper divisors (23786614385880).

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

11220101121000 is a wasteful number, since it uses less digits than its factorization.

11220101121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3740033731 (or 3740033717 counting only the distinct ones).

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

Adding to 11220101121000 its reverse (12110102211), we get a palindrome (11232211223211).

The spelling of 11220101121000 in words is "eleven trillion, two hundred twenty billion, one hundred one million, one hundred twenty-one thousand".