1101142202220 has 144 divisors (see below), whose sum is σ = 3448369387008. Its totient is φ = 284205611520.

The previous prime is 1101142202219. The next prime is 1101142202227. The reversal of 1101142202220 is 222022411011.

1101142202220 is a `hidden beast` number, since 1 + 10 + 11 + 422 + 0 + 2 + 220 = 666.

It is a super-2 number, since 2×1101142202220² (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 = 1101142202193 and 1101142202202.

It is not an unprimeable number, because it can be changed into a prime (1101142202227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 839242 + ... + 1704878.

It is an arithmetic number, because the mean of its divisors is an integer number (23947009632).

Almost surely, 2^{1101142202220} is an apocalyptic number.

1101142202220 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 1101142202220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1724184693504).

1101142202220 is an abundant number, since it is smaller than the sum of its proper divisors (2347227184788).

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

1101142202220 is a wasteful number, since it uses less digits than its factorization.

1101142202220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865880 (or 865875 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1101142202220 its reverse (222022411011), we get a palindrome (1323164613231).

The spelling of 1101142202220 in words is "one trillion, one hundred one billion, one hundred forty-two million, two hundred two thousand, two hundred twenty".