101122212101121 has 24 divisors (see below), whose sum is σ = 154663060410144. Its totient is φ = 63446950281600.

The previous prime is 101122212101083. The next prime is 101122212101129. The reversal of 101122212101121 is 121101212221101.

It is a happy number.

101122212101121 is a `hidden beast` number, since 1 + 0 + 112 + 221 + 210 + 1 + 121 = 666.

It is not a de Polignac number, because 101122212101121 - 2¹⁰ = 101122212100097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101122212101094 and 101122212101103.

It is not an unprimeable number, because it can be changed into a prime (101122212101129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7604251 + ... + 16126656.

It is an arithmetic number, because the mean of its divisors is an integer number (6444294183756).

Almost surely, 2^{101122212101121} is an apocalyptic number.

It is an amenable number.

101122212101121 is a deficient number, since it is larger than the sum of its proper divisors (53540848309023).

101122212101121 is a wasteful number, since it uses less digits than its factorization.

101122212101121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23758781 (or 23758778 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 101122212101121 its reverse (121101212221101), we get a palindrome (222223424322222).

The spelling of 101122212101121 in words is "one hundred one trillion, one hundred twenty-two billion, two hundred twelve million, one hundred one thousand, one hundred twenty-one".