100111000100101 has 2 divisors, whose sum is σ = 100111000100102. Its totient is φ = 100111000100100.

The previous prime is 100111000100081. The next prime is 100111000100113. The reversal of 100111000100101 is 101001000111001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71261049523876 + 28849950576225 = 8441626^2 + 5371215^2 .

It is a cyclic number.

It is not a de Polignac number, because 100111000100101 - 2¹⁵ = 100111000067333 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100111000100401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055500050050 + 50055500050051.

It is an arithmetic number, because the mean of its divisors is an integer number (50055500050051).

Almost surely, 2^{100111000100101} is an apocalyptic number.

It is an amenable number.

100111000100101 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111000100101 is an equidigital number, since it uses as much as digits as its factorization.

100111000100101 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 100111000100101 its reverse (101001000111001), we get a palindrome (201112000211102).

The spelling of 100111000100101 in words is "one hundred trillion, one hundred eleven billion, one hundred thousand, one hundred one".