11211200101120 has 36 divisors (see below), whose sum is σ = 26854327745280. Its totient is φ = 4484480039936.

The previous prime is 11211200101103. The next prime is 11211200101133. The reversal of 11211200101120 is 2110100211211.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 11211200101120.

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, 4379373760 + ... + 4379376319.

It is an arithmetic number, because the mean of its divisors is an integer number (745953548480).

Almost surely, 2^{11211200101120} is an apocalyptic number.

11211200101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11211200101120 is an abundant number, since it is smaller than the sum of its proper divisors (15643127644160).

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

11211200101120 is an frugal number, since it uses more digits than its factorization.

11211200101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8758750100 (or 8758750086 counting only the distinct ones).

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

Adding to 11211200101120 its reverse (2110100211211), we get a palindrome (13321300312331).

The spelling of 11211200101120 in words is "eleven trillion, two hundred eleven billion, two hundred million, one hundred one thousand, one hundred twenty".