101100320321 has 32 divisors (see below), whose sum is σ = 135772492800. Its totient is φ = 72703759680.

The previous prime is 101100320303. The next prime is 101100320327. The reversal of 101100320321 is 123023001101.

It is a cyclic number.

It is not a de Polignac number, because 101100320321 - 2⁶ = 101100320257 is a prime.

It is a super-4 number, since 4×101100320321⁴ (a number of 45 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101100320296 and 101100320305.

It is not an unprimeable number, because it can be changed into a prime (101100320327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6617990 + ... + 6633248.

It is an arithmetic number, because the mean of its divisors is an integer number (4242890400).

Almost surely, 2^101100320321 is an apocalyptic number.

101100320321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101100320321 is a deficient number, since it is larger than the sum of its proper divisors (34672172479).

101100320321 is a wasteful number, since it uses less digits than its factorization.

101100320321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21909.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 101100320321 its reverse (123023001101), we get a palindrome (224123321422).

The spelling of 101100320321 in words is "one hundred one billion, one hundred million, three hundred twenty thousand, three hundred twenty-one".