101122122211121 has 16 divisors (see below), whose sum is σ = 111390746962560. Its totient is φ = 91032856629120.

The previous prime is 101122122211079. The next prime is 101122122211169. The reversal of 101122122211121 is 121112221221101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101122122211121 - 2¹⁰ = 101122122210097 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101122122211093 and 101122122211102.

It is not an unprimeable number, because it can be changed into a prime (101122122211421) 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, 25246631 + ... + 28976483.

It is an arithmetic number, because the mean of its divisors is an integer number (6961921685160).

Almost surely, 2^{101122122211121} is an apocalyptic number.

101122122211121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101122122211121 is a deficient number, since it is larger than the sum of its proper divisors (10268624751439).

101122122211121 is a wasteful number, since it uses less digits than its factorization.

101122122211121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3753896.

The product of its (nonzero) digits is 64, while the sum is 20.

Adding to 101122122211121 its reverse (121112221221101), we get a palindrome (222234343432222).

The spelling of 101122122211121 in words is "one hundred one trillion, one hundred twenty-two billion, one hundred twenty-two million, two hundred eleven thousand, one hundred twenty-one".