101221101212101 has 4 divisors (see below), whose sum is σ = 109007339766892. Its totient is φ = 93434862657312.

The previous prime is 101221101212059. The next prime is 101221101212123. The reversal of 101221101212101 is 101212101122101.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 41489688680001 + 59731412532100 = 6441249^2 + 7728610^2 .

It is a cyclic number.

It is not a de Polignac number, because 101221101212101 - 2⁷ = 101221101211973 is a prime.

It is a super-3 number, since 3×101221101212101³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101221101212171) 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 3 ways as a sum of consecutive naturals, for example, 3893119277376 + ... + 3893119277401.

It is an arithmetic number, because the mean of its divisors is an integer number (27251834941723).

Almost surely, 2^{101221101212101} is an apocalyptic number.

It is an amenable number.

101221101212101 is a deficient number, since it is larger than the sum of its proper divisors (7786238554791).

101221101212101 is an equidigital number, since it uses as much as digits as its factorization.

101221101212101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7786238554790.

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

Adding to 101221101212101 its reverse (101212101122101), we get a palindrome (202433202334202).

The spelling of 101221101212101 in words is "one hundred one trillion, two hundred twenty-one billion, one hundred one million, two hundred twelve thousand, one hundred one".