1111011022121 has 48 divisors (see below), whose sum is σ = 1522354559040. Its totient is φ = 797018382720.

The previous prime is 1111011022109. The next prime is 1111011022153. The reversal of 1111011022121 is 1212201101111.

It is not a de Polignac number, because 1111011022121 - 2²⁶ = 1110943913257 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1111011022096 and 1111011022105.

It is not an unprimeable number, because it can be changed into a prime (1111011022171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2446475 + ... + 2864831.

It is an arithmetic number, because the mean of its divisors is an integer number (31715719980).

Almost surely, 2^{1111011022121} is an apocalyptic number.

1111011022121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1111011022121 is a deficient number, since it is larger than the sum of its proper divisors (411343536919).

1111011022121 is a wasteful number, since it uses less digits than its factorization.

1111011022121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418774 (or 418767 counting only the distinct ones).

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

Adding to 1111011022121 its reverse (1212201101111), we get a palindrome (2323212123232).

The spelling of 1111011022121 in words is "one trillion, one hundred eleven billion, eleven million, twenty-two thousand, one hundred twenty-one".