11111010221120 has 28 divisors (see below), whose sum is σ = 26458093089804. Its totient is φ = 4444404088320.

The previous prime is 11111010221093. The next prime is 11111010221147. The reversal of 11111010221120 is 2112201011111.

It is an interprime number because it is at equal distance from previous prime (11111010221093) and next prime (11111010221147).

It can be written as a sum of positive squares in 2 ways, for example, as 8288825257024 + 2822184964096 = 2879032^2 + 1679936^2 .

It is a super-2 number, since 2×11111010221120² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11111010221095 and 11111010221104.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17360953151 + ... + 17360953790.

Almost surely, 2^{11111010221120} is an apocalyptic number.

11111010221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11111010221120 is an abundant number, since it is smaller than the sum of its proper divisors (15347082868684).

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

11111010221120 is an equidigital number, since it uses as much as digits as its factorization.

11111010221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34721906958 (or 34721906948 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 11111010221120 its reverse (2112201011111), we get a palindrome (13223211232231).

The spelling of 11111010221120 in words is "eleven trillion, one hundred eleven billion, ten million, two hundred twenty-one thousand, one hundred twenty".