101221221121101 has 6 divisors (see below), whose sum is σ = 146208430508270. Its totient is φ = 67480814080728.

The previous prime is 101221221121093. The next prime is 101221221121129. The reversal of 101221221121101 is 101121122122101.

It is a happy number.

101221221121101 is a `hidden beast` number, since 1 + 0 + 1 + 221 + 221 + 121 + 101 = 666.

It can be written as a sum of positive squares in only one way, i.e., 89572993418601 + 11648227702500 = 9464301^2 + 3412950^2 .

It is not a de Polignac number, because 101221221121101 - 2³ = 101221221121093 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101221221121171) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5623401173386 + ... + 5623401173403.

Almost surely, 2^{101221221121101} is an apocalyptic number.

It is an amenable number.

101221221121101 is a deficient number, since it is larger than the sum of its proper divisors (44987209387169).

101221221121101 is a wasteful number, since it uses less digits than its factorization.

101221221121101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11246802346795 (or 11246802346792 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 101221221121101 its reverse (101121122122101), we get a palindrome (202342343243202).

The spelling of 101221221121101 in words is "one hundred one trillion, two hundred twenty-one billion, two hundred twenty-one million, one hundred twenty-one thousand, one hundred one".