1101122121 has 16 divisors (see below), whose sum is σ = 1602659520. Its totient is φ = 666918720.

The previous prime is 1101122107. The next prime is 1101122137. The reversal of 1101122121 is 1212211011.

It is not a de Polignac number, because 1101122121 - 2⁵ = 1101122089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1101122097 and 1101122106.

It is not an unprimeable number, because it can be changed into a prime (1101122161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46015 + ... + 65723.

It is an arithmetic number, because the mean of its divisors is an integer number (100166220).

Almost surely, 2^1101122121 is an apocalyptic number.

1101122121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1101122121 is a deficient number, since it is larger than the sum of its proper divisors (501537399).

1101122121 is a wasteful number, since it uses less digits than its factorization.

1101122121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21416.

The product of its (nonzero) digits is 8, while the sum is 12.

The square root of 1101122121 is about 33183.1602021266. The cubic root of 1101122121 is about 1032.6310092562.

Adding to 1101122121 its reverse (1212211011), we get a palindrome (2313333132).

The spelling of 1101122121 in words is "one billion, one hundred one million, one hundred twenty-two thousand, one hundred twenty-one".