1101211111121 has 4 divisors (see below), whose sum is σ = 1201321212144. Its totient is φ = 1001101010100.

The previous prime is 1101211111097. The next prime is 1101211111141. The reversal of 1101211111121 is 1211111121011.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 1101211111121 - 2³⁰ = 1100137369297 is a prime.

It is a super-2 number, since 2×1101211111121² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1101211111096 and 1101211111105.

It is not an unprimeable number, because it can be changed into a prime (1101211111141) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 50055050495 + ... + 50055050516.

It is an arithmetic number, because the mean of its divisors is an integer number (300330303036).

Almost surely, 2^{1101211111121} is an apocalyptic number.

1101211111121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1101211111121 is a deficient number, since it is larger than the sum of its proper divisors (100110101023).

1101211111121 is a wasteful number, since it uses less digits than its factorization.

1101211111121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100110101022.

The product of its (nonzero) digits is 4, while the sum is 14.

Adding to 1101211111121 its reverse (1211111121011), we get a palindrome (2312322232132).

The spelling of 1101211111121 in words is "one trillion, one hundred one billion, two hundred eleven million, one hundred eleven thousand, one hundred twenty-one".