100102221101 has 2 divisors, whose sum is σ = 100102221102. Its totient is φ = 100102221100.

The previous prime is 100102221097. The next prime is 100102221113. The reversal of 100102221101 is 101122201001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 88834398601 + 11267822500 = 298051^2 + 106150^2 .

It is an emirp because it is prime and its reverse (101122201001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100102221101 - 2² = 100102221097 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100102221151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50051110550 + 50051110551.

It is an arithmetic number, because the mean of its divisors is an integer number (50051110551).

Almost surely, 2^100102221101 is an apocalyptic number.

It is an amenable number.

100102221101 is a deficient number, since it is larger than the sum of its proper divisors (1).

100102221101 is an equidigital number, since it uses as much as digits as its factorization.

100102221101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100102221101 its reverse (101122201001), we get a palindrome (201224422102).

The spelling of 100102221101 in words is "one hundred billion, one hundred two million, two hundred twenty-one thousand, one hundred one".