100105011565061 has 2 divisors, whose sum is σ = 100105011565062. Its totient is φ = 100105011565060.

The previous prime is 100105011565049. The next prime is 100105011565093. The reversal of 100105011565061 is 160565110501001.

It is an a-pointer prime, because the next prime (100105011565093) can be obtained adding 100105011565061 to its sum of digits (32).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 59329954328836 + 40775057236225 = 7702594^2 + 6385535^2 .

It is a cyclic number.

It is not a de Polignac number, because 100105011565061 - 2⁶ = 100105011564997 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100105011565861) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50052505782530 + 50052505782531.

It is an arithmetic number, because the mean of its divisors is an integer number (50052505782531).

Almost surely, 2^{100105011565061} is an apocalyptic number.

It is an amenable number.

100105011565061 is a deficient number, since it is larger than the sum of its proper divisors (1).

100105011565061 is an equidigital number, since it uses as much as digits as its factorization.

100105011565061 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4500, while the sum is 32.

The spelling of 100105011565061 in words is "one hundred trillion, one hundred five billion, eleven million, five hundred sixty-five thousand, sixty-one".