101321220110233 has 8 divisors (see below), whose sum is σ = 101516064928200. Its totient is φ = 101126518617600.

The previous prime is 101321220110219. The next prime is 101321220110251. The reversal of 101321220110233 is 332011022123101.

It can be written as a sum of positive squares in 4 ways, for example, as 71749234722064 + 29571985388169 = 8470492^2 + 5438013^2 .

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 101321220110233 - 2⁴⁵ = 66136848021401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101321220110203) 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, 34416058 + ... + 37243891.

It is an arithmetic number, because the mean of its divisors is an integer number (12689508116025).

Almost surely, 2^{101321220110233} is an apocalyptic number.

It is an amenable number.

101321220110233 is a deficient number, since it is larger than the sum of its proper divisors (194844817967).

101321220110233 is an equidigital number, since it uses as much as digits as its factorization.

101321220110233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71662667.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 101321220110233 its reverse (332011022123101), we get a palindrome (433332242233334).

The spelling of 101321220110233 in words is "one hundred one trillion, three hundred twenty-one billion, two hundred twenty million, one hundred ten thousand, two hundred thirty-three".