101021102110321 has 8 divisors (see below), whose sum is σ = 101561535279464. Its totient is φ = 100482093008640.

The previous prime is 101021102110259. The next prime is 101021102110339. The reversal of 101021102110321 is 123011201120101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 52367287921 + 100968734822400 = 228839^2 + 10048320^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101021102110321 - 2²⁹ = 101020565239409 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101021102110295 and 101021102110304.

It is not an unprimeable number, because it can be changed into a prime (101021102110421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 355874610 + ... + 356158363.

It is an arithmetic number, because the mean of its divisors is an integer number (12695191909933).

Almost surely, 2^{101021102110321} is an apocalyptic number.

It is an amenable number.

101021102110321 is a deficient number, since it is larger than the sum of its proper divisors (540433169143).

101021102110321 is an equidigital number, since it uses as much as digits as its factorization.

101021102110321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712033731.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 101021102110321 its reverse (123011201120101), we get a palindrome (224032303230422).

The spelling of 101021102110321 in words is "one hundred one trillion, twenty-one billion, one hundred two million, one hundred ten thousand, three hundred twenty-one".