101221100313 has 8 divisors (see below), whose sum is σ = 135045982848. Its totient is φ = 67438475664.

The previous prime is 101221100303. The next prime is 101221100317. The reversal of 101221100313 is 313001122101.

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 101221100313 - 2¹² = 101221096217 is a prime.

It is a super-2 number, since 2×101221100313² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101221100292 and 101221100301.

It is not an unprimeable number, because it can be changed into a prime (101221100317) 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, 10558881 + ... + 10568462.

It is an arithmetic number, because the mean of its divisors is an integer number (16880747856).

Almost surely, 2^101221100313 is an apocalyptic number.

It is an amenable number.

101221100313 is a deficient number, since it is larger than the sum of its proper divisors (33824882535).

101221100313 is a wasteful number, since it uses less digits than its factorization.

101221100313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21128943.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 101221100313 its reverse (313001122101), we get a palindrome (414222222414).

The spelling of 101221100313 in words is "one hundred one billion, two hundred twenty-one million, one hundred thousand, three hundred thirteen".