101221101020101 has 8 divisors (see below), whose sum is σ = 107137193290400. Its totient is φ = 95363875339920.

The previous prime is 101221101020077. The next prime is 101221101020147. The reversal of 101221101020101 is 101020101122101.

It is a happy number.

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

It is not a de Polignac number, because 101221101020101 - 2¹⁹ = 101221100495813 is a prime.

It is a super-2 number, since 2×101221101020101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101221201020101) 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, 14716643991 + ... + 14716650868.

It is an arithmetic number, because the mean of its divisors is an integer number (13392149161300).

Almost surely, 2^{101221101020101} is an apocalyptic number.

It is an amenable number.

101221101020101 is a deficient number, since it is larger than the sum of its proper divisors (5916092270299).

101221101020101 is a wasteful number, since it uses less digits than its factorization.

101221101020101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29433295059.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101221101020101 its reverse (101020101122101), we get a palindrome (202241202142202).

The spelling of 101221101020101 in words is "one hundred one trillion, two hundred twenty-one billion, one hundred one million, twenty thousand, one hundred one".