1001120221220 has 48 divisors (see below), whose sum is σ = 2507153257728. Its totient is φ = 328317686400.

The previous prime is 1001120221169. The next prime is 1001120221223. The reversal of 1001120221220 is 221220211001.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 1001120221195 and 1001120221204.

It is not an unprimeable number, because it can be changed into a prime (1001120221223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155450231 + ... + 155456670.

It is an arithmetic number, because the mean of its divisors is an integer number (52232359536).

Almost surely, 2^{1001120221220} is an apocalyptic number.

1001120221220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001120221220 is an abundant number, since it is smaller than the sum of its proper divisors (1506033036508).

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

1001120221220 is a wasteful number, since it uses less digits than its factorization.

1001120221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310906940 (or 310906938 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1001120221220 its reverse (221220211001), we get a palindrome (1222340432221).

The spelling of 1001120221220 in words is "one trillion, one billion, one hundred twenty million, two hundred twenty-one thousand, two hundred twenty".