1221101021120 has 112 divisors (see below), whose sum is σ = 3031265846016. Its totient is φ = 468003840000.

The previous prime is 1221101021051. The next prime is 1221101021123. The reversal of 1221101021120 is 211201011221.

It is a junction number, because it is equal to n+sod(n) for n = 1221101021095 and 1221101021104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1221101021123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 392540 + ... + 1611300.

Almost surely, 2^{1221101021120} is an apocalyptic number.

1221101021120 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 1221101021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1515632923008).

1221101021120 is an abundant number, since it is smaller than the sum of its proper divisors (1810164824896).

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

1221101021120 is a wasteful number, since it uses less digits than its factorization.

1221101021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1218910 (or 1218900 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1221101021120 its reverse (211201011221), we get a palindrome (1432302032341).

The spelling of 1221101021120 in words is "one trillion, two hundred twenty-one billion, one hundred one million, twenty-one thousand, one hundred twenty".