11001112101220 has 48 divisors (see below), whose sum is σ = 23485302188208. Its totient is φ = 4327524840960.

The previous prime is 11001112101169. The next prime is 11001112101223. The reversal of 11001112101220 is 2210121110011.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 33781704804 + 10967330396416 = 183798^2 + 3311696^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 11001112101220.

It is not an unprimeable number, because it can be changed into a prime (11001112101223) 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, 5968194 + ... + 7590886.

It is an arithmetic number, because the mean of its divisors is an integer number (489277128921).

Almost surely, 2^{11001112101220} is an apocalyptic number.

11001112101220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11001112101220 is an abundant number, since it is smaller than the sum of its proper divisors (12484190086988).

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

11001112101220 is a wasteful number, since it uses less digits than its factorization.

11001112101220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1628320 (or 1628318 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 11001112101220 its reverse (2210121110011), we get a palindrome (13211233211231).

The spelling of 11001112101220 in words is "eleven trillion, one billion, one hundred twelve million, one hundred one thousand, two hundred twenty".