10010100101 has 2 divisors, whose sum is σ = 10010100102. Its totient is φ = 10010100100.

The previous prime is 10010100083. The next prime is 10010100137. The reversal of 10010100101 is 10100101001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9875191876 + 134908225 = 99374^2 + 11615^2 .

It is an emirp because it is prime and its reverse (10100101001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10010100101 - 2¹⁴ = 10010083717 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10010109101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005050050 + 5005050051.

It is an arithmetic number, because the mean of its divisors is an integer number (5005050051).

Almost surely, 2^10010100101 is an apocalyptic number.

It is an amenable number.

10010100101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010100101 is an equidigital number, since it uses as much as digits as its factorization.

10010100101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 10010100101 its reverse (10100101001), we get a palindrome (20110201102).

The spelling of 10010100101 in words is "ten billion, ten million, one hundred thousand, one hundred one".