1101120011121 has 64 divisors (see below), whose sum is σ = 1641293660160. Its totient is φ = 652330990080.

The previous prime is 1101120011099. The next prime is 1101120011213. The reversal of 1101120011121 is 1211100211011.

It is not a de Polignac number, because 1101120011121 - 2¹⁰ = 1101120010097 is a prime.

It is a super-2 number, since 2×1101120011121² (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1101120011097 and 1101120011106.

It is not an unprimeable number, because it can be changed into a prime (1101120091121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57123141 + ... + 57142413.

It is an arithmetic number, because the mean of its divisors is an integer number (25645213440).

Almost surely, 2^{1101120011121} is an apocalyptic number.

It is an amenable number.

1101120011121 is a deficient number, since it is larger than the sum of its proper divisors (540173649039).

1101120011121 is a wasteful number, since it uses less digits than its factorization.

1101120011121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19846.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 1101120011121 its reverse (1211100211011), we get a palindrome (2312220222132).

The spelling of 1101120011121 in words is "one trillion, one hundred one billion, one hundred twenty million, eleven thousand, one hundred twenty-one".