101221101010121 has 8 divisors (see below), whose sum is σ = 101331969414720. Its totient is φ = 101110234185072.

The previous prime is 101221101010091. The next prime is 101221101010157. The reversal of 101221101010121 is 121010101122101.

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 101221101010121 - 2¹⁴ = 101221100993737 is a prime.

It is a super-2 number, since 2×101221101010121² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101221101010096 and 101221101010105.

It is not an unprimeable number, because it can be changed into a prime (101221101010621) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 166295291 + ... + 166902863.

It is an arithmetic number, because the mean of its divisors is an integer number (12666496176840).

Almost surely, 2^{101221101010121} is an apocalyptic number.

It is an amenable number.

101221101010121 is a deficient number, since it is larger than the sum of its proper divisors (110868404599).

101221101010121 is an equidigital number, since it uses as much as digits as its factorization.

101221101010121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789775.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 101221101010121 its reverse (121010101122101), we get a palindrome (222231202132222).

The spelling of 101221101010121 in words is "one hundred one trillion, two hundred twenty-one billion, one hundred one million, ten thousand, one hundred twenty-one".