100105100510101 has 2 divisors, whose sum is σ = 100105100510102. Its totient is φ = 100105100510100.

The previous prime is 100105100510087. The next prime is 100105100510179. The reversal of 100105100510101 is 101015001501001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93436853043076 + 6668247467025 = 9666274^2 + 2582295^2 .

It is a cyclic number.

It is not a de Polignac number, because 100105100510101 - 2¹⁷ = 100105100379029 is a prime.

It is a super-2 number, since 2×100105100510101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100105100513101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50052550255050 + 50052550255051.

It is an arithmetic number, because the mean of its divisors is an integer number (50052550255051).

Almost surely, 2^{100105100510101} is an apocalyptic number.

It is an amenable number.

100105100510101 is a deficient number, since it is larger than the sum of its proper divisors (1).

100105100510101 is an equidigital number, since it uses as much as digits as its factorization.

100105100510101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25, while the sum is 16.

The spelling of 100105100510101 in words is "one hundred trillion, one hundred five billion, one hundred million, five hundred ten thousand, one hundred one".