11121210101120 has 128 divisors (see below), whose sum is σ = 30497692449600. Its totient is φ = 3798811238400.

The previous prime is 11121210101117. The next prime is 11121210101159. The reversal of 11121210101120 is 2110101212111.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×11121210101120² (a number of 27 digits) contains 22 as substring.

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 = 11121210101095 and 11121210101104.

It is a congruent number.

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, 3409031 + ... + 5819270.

Almost surely, 2^{11121210101120} is an apocalyptic number.

11121210101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11121210101120 is an abundant number, since it is smaller than the sum of its proper divisors (19376482348480).

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

11121210101120 is an equidigital number, since it uses as much as digits as its factorization.

11121210101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9228596 (or 9228584 counting only the distinct ones).

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

Adding to 11121210101120 its reverse (2110101212111), we get a palindrome (13231311313231).

The spelling of 11121210101120 in words is "eleven trillion, one hundred twenty-one billion, two hundred ten million, one hundred one thousand, one hundred twenty".