100100001110101 has 2 divisors, whose sum is σ = 100100001110102. Its totient is φ = 100100001110100.

The previous prime is 100100001110093. The next prime is 100100001110111. The reversal of 100100001110101 is 101011100001001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97679717723025 + 2420283387076 = 9883305^2 + 1555726^2 .

It is an emirp because it is prime and its reverse (101011100001001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100100001110101 - 2³ = 100100001110093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100100001110111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050000555050 + 50050000555051.

It is an arithmetic number, because the mean of its divisors is an integer number (50050000555051).

Almost surely, 2^{100100001110101} is an apocalyptic number.

It is an amenable number.

100100001110101 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100001110101 is an equidigital number, since it uses as much as digits as its factorization.

100100001110101 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 7.

Adding to 100100001110101 its reverse (101011100001001), we get a palindrome (201111101111102).

The spelling of 100100001110101 in words is "one hundred trillion, one hundred billion, one million, one hundred ten thousand, one hundred one".