1111101112121 has 64 divisors (see below), whose sum is σ = 1544918538240. Its totient is φ = 771200317440.

The previous prime is 1111101112109. The next prime is 1111101112243. The reversal of 1111101112121 is 1212111011111.

It is not a de Polignac number, because 1111101112121 - 2²⁶ = 1111034003257 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1111101112096 and 1111101112105.

It is not an unprimeable number, because it can be changed into a prime (1111101112421) 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, 3417065 + ... + 3728073.

It is an arithmetic number, because the mean of its divisors is an integer number (24139352160).

Almost surely, 2^{1111101112121} is an apocalyptic number.

1111101112121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1111101112121 is a deficient number, since it is larger than the sum of its proper divisors (433817426119).

1111101112121 is a wasteful number, since it uses less digits than its factorization.

1111101112121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311166.

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

Adding to 1111101112121 its reverse (1212111011111), we get a palindrome (2323212123232).

The spelling of 1111101112121 in words is "one trillion, one hundred eleven billion, one hundred one million, one hundred twelve thousand, one hundred twenty-one".