100110110101 has 2 divisors, whose sum is σ = 100110110102. Its totient is φ = 100110110100.

The previous prime is 100110110099. The next prime is 100110110131. The reversal of 100110110101 is 101011011001.

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., 88640771076 + 11469339025 = 297726^2 + 107095^2 .

It is a cyclic number.

It is not a de Polignac number, because 100110110101 - 2¹ = 100110110099 is a prime.

Together with 100110110099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100110110131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055055050 + 50055055051.

It is an arithmetic number, because the mean of its divisors is an integer number (50055055051).

Almost surely, 2^100110110101 is an apocalyptic number.

It is an amenable number.

100110110101 is a deficient number, since it is larger than the sum of its proper divisors (1).

100110110101 is an equidigital number, since it uses as much as digits as its factorization.

100110110101 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 7.

Adding to 100110110101 its reverse (101011011001), we get a palindrome (201121121102).

The spelling of 100110110101 in words is "one hundred billion, one hundred ten million, one hundred ten thousand, one hundred one".