101100201321 has 16 divisors (see below), whose sum is σ = 160755600384. Its totient is φ = 55259737104.

The previous prime is 101100201317. The next prime is 101100201353. The reversal of 101100201321 is 123102001101.

It is not a de Polignac number, because 101100201321 - 2² = 101100201317 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101100201297 and 101100201306.

It is not an unprimeable number, because it can be changed into a prime (101100201361) 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 15 ways as a sum of consecutive naturals, for example, 104658111 + ... + 104659076.

It is an arithmetic number, because the mean of its divisors is an integer number (10047225024).

Almost surely, 2^101100201321 is an apocalyptic number.

It is an amenable number.

101100201321 is a deficient number, since it is larger than the sum of its proper divisors (59655399063).

101100201321 is a wasteful number, since it uses less digits than its factorization.

101100201321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209317220.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 101100201321 its reverse (123102001101), we get a palindrome (224202202422).

The spelling of 101100201321 in words is "one hundred one billion, one hundred million, two hundred one thousand, three hundred twenty-one".