1101122122121 has 16 divisors (see below), whose sum is σ = 1304308521600. Its totient is φ = 909530995968.

The previous prime is 1101122122109. The next prime is 1101122122123. The reversal of 1101122122121 is 1212212211011.

It is not a de Polignac number, because 1101122122121 - 2²⁶ = 1101055013257 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1101122122121.

It is not an unprimeable number, because it can be changed into a prime (1101122122123) 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, 5079536 + ... + 5291873.

It is an arithmetic number, because the mean of its divisors is an integer number (81519282600).

Almost surely, 2^{1101122122121} is an apocalyptic number.

It is an amenable number.

1101122122121 is a deficient number, since it is larger than the sum of its proper divisors (203186399479).

1101122122121 is a wasteful number, since it uses less digits than its factorization.

1101122122121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10371968.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 1101122122121 its reverse (1212212211011), we get a palindrome (2313334333132).

The spelling of 1101122122121 in words is "one trillion, one hundred one billion, one hundred twenty-two million, one hundred twenty-two thousand, one hundred twenty-one".