101221312101 has 64 divisors (see below), whose sum is σ = 175756922880. Its totient is φ = 50318807040.

The previous prime is 101221312021. The next prime is 101221312111. The reversal of 101221312101 is 101213122101.

It is not a de Polignac number, because 101221312101 - 2⁹ = 101221311589 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101221312111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 950536 + ... + 1051646.

It is an arithmetic number, because the mean of its divisors is an integer number (2746201920).

Almost surely, 2^101221312101 is an apocalyptic number.

It is an amenable number.

101221312101 is a deficient number, since it is larger than the sum of its proper divisors (74535610779).

101221312101 is a wasteful number, since it uses less digits than its factorization.

101221312101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101346.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 101221312101 its reverse (101213122101), we get a palindrome (202434434202).

The spelling of 101221312101 in words is "one hundred one billion, two hundred twenty-one million, three hundred twelve thousand, one hundred one".