100110222101321 has 2 divisors, whose sum is σ = 100110222101322. Its totient is φ = 100110222101320.

The previous prime is 100110222101303. The next prime is 100110222101327. The reversal of 100110222101321 is 123101222011001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 58116776446096 + 41993445655225 = 7623436^2 + 6480235^2 .

It is a cyclic number.

It is not a de Polignac number, because 100110222101321 - 2¹⁰ = 100110222100297 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100110222101321.

It is not a weakly prime, because it can be changed into another prime (100110222101327) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055111050660 + 50055111050661.

It is an arithmetic number, because the mean of its divisors is an integer number (50055111050661).

Almost surely, 2^{100110222101321} is an apocalyptic number.

It is an amenable number.

100110222101321 is a deficient number, since it is larger than the sum of its proper divisors (1).

100110222101321 is an equidigital number, since it uses as much as digits as its factorization.

100110222101321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 100110222101321 its reverse (123101222011001), we get a palindrome (223211444112322).

The spelling of 100110222101321 in words is "one hundred trillion, one hundred ten billion, two hundred twenty-two million, one hundred one thousand, three hundred twenty-one".