101221201110101 has 8 divisors (see below), whose sum is σ = 102236010660408. Its totient is φ = 100206639000000.

The previous prime is 101221201110097. The next prime is 101221201110221. The reversal of 101221201110101 is 101011102122101.

It can be written as a sum of positive squares in 4 ways, for example, as 62467762359025 + 38753438751076 = 7903655^2 + 6225226^2 .

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 101221201110101 - 2² = 101221201110097 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101221201170101) 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, 61037750 + ... + 62674151.

It is an arithmetic number, because the mean of its divisors is an integer number (12779501332551).

Almost surely, 2^{101221201110101} is an apocalyptic number.

It is an amenable number.

101221201110101 is a deficient number, since it is larger than the sum of its proper divisors (1014809550307).

101221201110101 is a wasteful number, since it uses less digits than its factorization.

101221201110101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123720103.

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

Adding to 101221201110101 its reverse (101011102122101), we get a palindrome (202232303232202).

The spelling of 101221201110101 in words is "one hundred one trillion, two hundred twenty-one billion, two hundred one million, one hundred ten thousand, one hundred one".