101122102020121 has 8 divisors (see below), whose sum is σ = 124457971717184. Its totient is φ = 80008696103760.

The previous prime is 101122102020113. The next prime is 101122102020131. The reversal of 101122102020121 is 121020201221101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101122102020121 - 2³ = 101122102020113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101122102020095 and 101122102020104.

It is not an unprimeable number, because it can be changed into a prime (101122102020131) 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 7 ways as a sum of consecutive naturals, for example, 555615945075 + ... + 555615945256.

It is an arithmetic number, because the mean of its divisors is an integer number (15557246464648).

Almost surely, 2^{101122102020121} is an apocalyptic number.

It is an amenable number.

101122102020121 is a deficient number, since it is larger than the sum of its proper divisors (23335869697063).

101122102020121 is a wasteful number, since it uses less digits than its factorization.

101122102020121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111231890351.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101122102020121 its reverse (121020201221101), we get a palindrome (222142303241222).

The spelling of 101122102020121 in words is "one hundred one trillion, one hundred twenty-two billion, one hundred two million, twenty thousand, one hundred twenty-one".