101122101221121 has 12 divisors (see below), whose sum is σ = 150012966977172. Its totient is φ = 65592714305376.

The previous prime is 101122101221077. The next prime is 101122101221129. The reversal of 101122101221121 is 121122101221101.

It is a happy number.

101122101221121 is a `hidden beast` number, since 1 + 0 + 112 + 210 + 1 + 221 + 121 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 88580303947521 + 12541797273600 = 9411711^2 + 3541440^2 .

It is not a de Polignac number, because 101122101221121 - 2¹⁴ = 101122101204737 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101122101221094 and 101122101221103.

It is not an unprimeable number, because it can be changed into a prime (101122101221129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 151834986486 + ... + 151834987151.

It is an arithmetic number, because the mean of its divisors is an integer number (12501080581431).

Almost surely, 2^{101122101221121} is an apocalyptic number.

It is an amenable number.

101122101221121 is a deficient number, since it is larger than the sum of its proper divisors (48890865756051).

101122101221121 is a wasteful number, since it uses less digits than its factorization.

101122101221121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303669973680 (or 303669973677 counting only the distinct ones).

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

Adding to 101122101221121 its reverse (121122101221101), we get a palindrome (222244202442222).

The spelling of 101122101221121 in words is "one hundred one trillion, one hundred twenty-two billion, one hundred one million, two hundred twenty-one thousand, one hundred twenty-one".