100801050585097 has 2 divisors, whose sum is σ = 100801050585098. Its totient is φ = 100801050585096.

The previous prime is 100801050585019. The next prime is 100801050585121. The reversal of 100801050585097 is 790585050108001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93260430236736 + 7540620348361 = 9657144^2 + 2746019^2 .

It is a cyclic number.

It is not a de Polignac number, because 100801050585097 - 2¹¹ = 100801050583049 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100801050585097.

It is not a weakly prime, because it can be changed into another prime (100801050085097) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50400525292548 + 50400525292549.

It is an arithmetic number, because the mean of its divisors is an integer number (50400525292549).

Almost surely, 2^{100801050585097} is an apocalyptic number.

It is an amenable number.

100801050585097 is a deficient number, since it is larger than the sum of its proper divisors (1).

100801050585097 is an equidigital number, since it uses as much as digits as its factorization.

100801050585097 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 504000, while the sum is 49.

The spelling of 100801050585097 in words is "one hundred trillion, eight hundred one billion, fifty million, five hundred eighty-five thousand, ninety-seven".