100210220101 has 2 divisors, whose sum is σ = 100210220102. Its totient is φ = 100210220100.

The previous prime is 100210220063. The next prime is 100210220183. The reversal of 100210220101 is 101022012001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93498350625 + 6711869476 = 305775^2 + 81926^2 .

It is an emirp because it is prime and its reverse (101022012001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100210220101 - 2¹³ = 100210211909 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100210221101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50105110050 + 50105110051.

It is an arithmetic number, because the mean of its divisors is an integer number (50105110051).

Almost surely, 2^100210220101 is an apocalyptic number.

It is an amenable number.

100210220101 is a deficient number, since it is larger than the sum of its proper divisors (1).

100210220101 is an equidigital number, since it uses as much as digits as its factorization.

100210220101 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 10.

Adding to 100210220101 its reverse (101022012001), we get a palindrome (201232232102).

The spelling of 100210220101 in words is "one hundred billion, two hundred ten million, two hundred twenty thousand, one hundred one".