100106101871 has 2 divisors, whose sum is σ = 100106101872. Its totient is φ = 100106101870.

The previous prime is 100106101783. The next prime is 100106101897. The reversal of 100106101871 is 178101601001.

It is an a-pointer prime, because the next prime (100106101897) can be obtained adding 100106101871 to its sum of digits (26).

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 100106101871 - 2¹⁰ = 100106100847 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100106101871.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100106104871) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50053050935 + 50053050936.

It is an arithmetic number, because the mean of its divisors is an integer number (50053050936).

Almost surely, 2^100106101871 is an apocalyptic number.

100106101871 is a deficient number, since it is larger than the sum of its proper divisors (1).

100106101871 is an equidigital number, since it uses as much as digits as its factorization.

100106101871 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 336, while the sum is 26.

Adding to 100106101871 its reverse (178101601001), we get a palindrome (278207702872).

The spelling of 100106101871 in words is "one hundred billion, one hundred six million, one hundred one thousand, eight hundred seventy-one".