1122101101121 has 16 divisors (see below), whose sum is σ = 1506597283968. Its totient is φ = 807105686400.

The previous prime is 1122101101109. The next prime is 1122101101127. The reversal of 1122101101121 is 1211011012211.

It is not a de Polignac number, because 1122101101121 - 2³⁴ = 1104921231937 is a prime.

It is a super-2 number, since 2×1122101101121² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1122101101096 and 1122101101105.

It is not an unprimeable number, because it can be changed into a prime (1122101101127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 560489060 + ... + 560491061.

It is an arithmetic number, because the mean of its divisors is an integer number (94162330248).

Almost surely, 2^{1122101101121} is an apocalyptic number.

1122101101121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1122101101121 is a deficient number, since it is larger than the sum of its proper divisors (384496182847).

1122101101121 is a wasteful number, since it uses less digits than its factorization.

1122101101121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120980152.

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

Adding to 1122101101121 its reverse (1211011012211), we get a palindrome (2333112113332).

The spelling of 1122101101121 in words is "one trillion, one hundred twenty-two billion, one hundred one million, one hundred one thousand, one hundred twenty-one".