1101103322220 has 576 divisors, whose sum is σ = 3951282456576. Its totient is φ = 245187624960.

The previous prime is 1101103322219. The next prime is 1101103322243. The reversal of 1101103322220 is 222233011011.

1101103322220 is a `hidden beast` number, since 1 + 1 + 0 + 110 + 332 + 2 + 220 = 666.

It is a super-2 number, since 2×1101103322220² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1101103322193 and 1101103322202.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 722982379 + ... + 722983901.

It is an arithmetic number, because the mean of its divisors is an integer number (6859865376).

Almost surely, 2^{1101103322220} is an apocalyptic number.

1101103322220 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 1101103322220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1975641228288).

1101103322220 is an abundant number, since it is smaller than the sum of its proper divisors (2850179134356).

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

1101103322220 is a wasteful number, since it uses less digits than its factorization.

1101103322220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2070 (or 2065 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1101103322220 its reverse (222233011011), we get a palindrome (1323336333231).

It can be divided in two parts, 11011033 and 22220, that added together give a triangular number (11033253 = T₄₆₉₇).

The spelling of 1101103322220 in words is "one trillion, one hundred one billion, one hundred three million, three hundred twenty-two thousand, two hundred twenty".