11010001221120 has 640 divisors, whose sum is σ = 40551764520960. Its totient is φ = 2520263393280.

The previous prime is 11010001221113. The next prime is 11010001221137. The reversal of 11010001221120 is 2112210001011.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×11010001221120² (a number of 27 digits) contains 22 as substring.

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 = 11010001221096 and 11010001221105.

It is a congruent number.

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, 492760669 + ... + 492783011.

It is an arithmetic number, because the mean of its divisors is an integer number (63362132064).

Almost surely, 2^{11010001221120} is an apocalyptic number.

11010001221120 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 11010001221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20275882260480).

11010001221120 is an abundant number, since it is smaller than the sum of its proper divisors (29541763299840).

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

11010001221120 is a wasteful number, since it uses less digits than its factorization.

11010001221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22706 (or 22690 counting only the distinct ones).

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

Adding to 11010001221120 its reverse (2112210001011), we get a palindrome (13122211222131).

The spelling of 11010001221120 in words is "eleven trillion, ten billion, one million, two hundred twenty-one thousand, one hundred twenty".