100500605106101 has 2 divisors, whose sum is σ = 100500605106102. Its totient is φ = 100500605106100.

The previous prime is 100500605106061. The next prime is 100500605106131. The reversal of 100500605106101 is 101601506005001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85323924039025 + 15176681067076 = 9237095^2 + 3895726^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100500605106101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100500605106131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50250302553050 + 50250302553051.

It is an arithmetic number, because the mean of its divisors is an integer number (50250302553051).

Almost surely, 2^{100500605106101} is an apocalyptic number.

It is an amenable number.

100500605106101 is a deficient number, since it is larger than the sum of its proper divisors (1).

100500605106101 is an equidigital number, since it uses as much as digits as its factorization.

100500605106101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 900, while the sum is 26.

The spelling of 100500605106101 in words is "one hundred trillion, five hundred billion, six hundred five million, one hundred six thousand, one hundred one".