100000010101 has 2 divisors, whose sum is σ = 100000010102. Its totient is φ = 100000010100.

The previous prime is 100000010093. The next prime is 100000010141. The reversal of 100000010101 is 101010000001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 91159309476 + 8840700625 = 301926^2 + 94025^2 .

It is an emirp because it is prime and its reverse (101010000001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100000010101 - 2³ = 100000010093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100000010141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50000005050 + 50000005051.

It is an arithmetic number, because the mean of its divisors is an integer number (50000005051).

Almost surely, 2^100000010101 is an apocalyptic number.

It is an amenable number.

100000010101 is a deficient number, since it is larger than the sum of its proper divisors (1).

100000010101 is an equidigital number, since it uses as much as digits as its factorization.

100000010101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 100000010101 its reverse (101010000001), we get a palindrome (201010010102).

It can be divided in two parts, 1000000 and 10101, that added together give a palindrome (1010101).

The spelling of 100000010101 in words is "one hundred billion, ten thousand, one hundred one".