11211101101120 has 112 divisors (see below), whose sum is σ = 28268391091248. Its totient is φ = 4220414197760.

The previous prime is 11211101101117. The next prime is 11211101101159. The reversal of 11211101101120 is 2110110111211.

It can be written as a sum of positive squares in 8 ways, for example, as 37270619136 + 11173830481984 = 193056^2 + 3342728^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 11211101101120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120683490 + ... + 120776350.

It is an arithmetic number, because the mean of its divisors is an integer number (252396349029).

Almost surely, 2^{11211101101120} is an apocalyptic number.

11211101101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11211101101120 is an abundant number, since it is smaller than the sum of its proper divisors (17057289990128).

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

11211101101120 is a wasteful number, since it uses less digits than its factorization.

11211101101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115088 (or 115078 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 11211101101120 its reverse (2110110111211), we get a palindrome (13321211212331).

The spelling of 11211101101120 in words is "eleven trillion, two hundred eleven billion, one hundred one million, one hundred one thousand, one hundred twenty".