100172195981093 has 2 divisors, whose sum is σ = 100172195981094. Its totient is φ = 100172195981092.

The previous prime is 100172195981063. The next prime is 100172195981113. The reversal of 100172195981093 is 390189591271001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94897562605444 + 5274633375649 = 9741538^2 + 2296657^2 .

It is an emirp because it is prime and its reverse (390189591271001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100172195981093 - 2⁶ = 100172195981029 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100172195981063) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50086097990546 + 50086097990547.

It is an arithmetic number, because the mean of its divisors is an integer number (50086097990547).

Almost surely, 2^{100172195981093} is an apocalyptic number.

It is an amenable number.

100172195981093 is a deficient number, since it is larger than the sum of its proper divisors (1).

100172195981093 is an equidigital number, since it uses as much as digits as its factorization.

100172195981093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1224720, while the sum is 56.

The spelling of 100172195981093 in words is "one hundred trillion, one hundred seventy-two billion, one hundred ninety-five million, nine hundred eighty-one thousand, ninety-three".