100000111010101 has 2 divisors, whose sum is σ = 100000111010102. Its totient is φ = 100000111010100.

The previous prime is 100000111010083. The next prime is 100000111010159. The reversal of 100000111010101 is 101010111000001.

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., 74438087318001 + 25562023692100 = 8627751^2 + 5055890^2 .

It is a cyclic number.

It is not a de Polignac number, because 100000111010101 - 2⁵ = 100000111010069 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100000111010801) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50000055505050 + 50000055505051.

It is an arithmetic number, because the mean of its divisors is an integer number (50000055505051).

Almost surely, 2^{100000111010101} is an apocalyptic number.

It is an amenable number.

100000111010101 is a deficient number, since it is larger than the sum of its proper divisors (1).

100000111010101 is an equidigital number, since it uses as much as digits as its factorization.

100000111010101 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 100000111010101 its reverse (101010111000001), we get a palindrome (201010222010102).

The spelling of 100000111010101 in words is "one hundred trillion, one hundred eleven million, ten thousand, one hundred one".