101221202313 has 80 divisors (see below), whose sum is σ = 189329602176. Its totient is φ = 52356015360.

The previous prime is 101221202311. The next prime is 101221202317. The reversal of 101221202313 is 313202122101.

It is not a de Polignac number, because 101221202313 - 2¹ = 101221202311 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101221202311) 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 79 ways as a sum of consecutive naturals, for example, 1418395 + ... + 1488047.

Almost surely, 2^101221202313 is an apocalyptic number.

It is an amenable number.

101221202313 is a deficient number, since it is larger than the sum of its proper divisors (88108399863).

101221202313 is a wasteful number, since it uses less digits than its factorization.

101221202313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69916 (or 69907 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 101221202313 its reverse (313202122101), we get a palindrome (414423324414).

The spelling of 101221202313 in words is "one hundred one billion, two hundred twenty-one million, two hundred two thousand, three hundred thirteen".