100221122101 has 2 divisors, whose sum is σ = 100221122102. Its totient is φ = 100221122100.

The previous prime is 100221122087. The next prime is 100221122137. The reversal of 100221122101 is 101221122001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 94353408900 + 5867713201 = 307170^2 + 76601^2 .

It is a cyclic number.

It is not a de Polignac number, because 100221122101 - 2⁹ = 100221121589 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100221122161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50110561050 + 50110561051.

It is an arithmetic number, because the mean of its divisors is an integer number (50110561051).

Almost surely, 2^100221122101 is an apocalyptic number.

It is an amenable number.

100221122101 is a deficient number, since it is larger than the sum of its proper divisors (1).

100221122101 is an equidigital number, since it uses as much as digits as its factorization.

100221122101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100221122101 its reverse (101221122001), we get a palindrome (201442244102).

The spelling of 100221122101 in words is "one hundred billion, two hundred twenty-one million, one hundred twenty-two thousand, one hundred one".