1001221101120 has 224 divisors, whose sum is σ = 3267245858688. Its totient is φ = 259581100032.

The previous prime is 1001221101103. The next prime is 1001221101131. The reversal of 1001221101120 is 211011221001.

It is a super-3 number, since 3×1001221101120³ (a number of 37 digits) contains 333 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 = 1001221101096 and 1001221101105.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 50677164 + ... + 50696916.

It is an arithmetic number, because the mean of its divisors is an integer number (14585919012).

Almost surely, 2^{1001221101120} is an apocalyptic number.

1001221101120 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 1001221101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1633622929344).

1001221101120 is an abundant number, since it is smaller than the sum of its proper divisors (2266024757568).

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

1001221101120 is a wasteful number, since it uses less digits than its factorization.

1001221101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21237 (or 21227 counting only the distinct ones).

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

Adding to 1001221101120 its reverse (211011221001), we get a palindrome (1212232322121).

The spelling of 1001221101120 in words is "one trillion, one billion, two hundred twenty-one million, one hundred one thousand, one hundred twenty".