1101122312121 has 48 divisors (see below), whose sum is σ = 1813807601424. Its totient is φ = 637685747712.

The previous prime is 1101122312111. The next prime is 1101122312131. The reversal of 1101122312121 is 1212132211011.

It is a happy number.

1101122312121 is a `hidden beast` number, since 110 + 1 + 122 + 312 + 121 = 666.

It is an interprime number because it is at equal distance from previous prime (1101122312111) and next prime (1101122312131).

It can be written as a sum of positive squares in 8 ways, for example, as 13615389225 + 1087506922896 = 116685^2 + 1042836^2 .

It is not a de Polignac number, because 1101122312121 - 2¹⁴ = 1101122295737 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1101122312094 and 1101122312103.

It is not an unprimeable number, because it can be changed into a prime (1101122312111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23042565 + ... + 23090301.

It is an arithmetic number, because the mean of its divisors is an integer number (37787658363).

Almost surely, 2^{1101122312121} is an apocalyptic number.

It is an amenable number.

1101122312121 is a deficient number, since it is larger than the sum of its proper divisors (712685289303).

1101122312121 is a wasteful number, since it uses less digits than its factorization.

1101122312121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59370 (or 59367 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 1101122312121 its reverse (1212132211011), we get a palindrome (2313254523132).

The spelling of 1101122312121 in words is "one trillion, one hundred one billion, one hundred twenty-two million, three hundred twelve thousand, one hundred twenty-one".