100101100098973 has 2 divisors, whose sum is σ = 100101100098974. Its totient is φ = 100101100098972.

The previous prime is 100101100098943. The next prime is 100101100098977. The reversal of 100101100098973 is 379890001101001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99731919908569 + 369180190404 = 9986587^2 + 607602^2 .

It is a cyclic number.

It is not a de Polignac number, because 100101100098973 - 2⁴¹ = 97902076843421 is a prime.

It is a super-2 number, since 2×100101100098973² (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 (100101100098977) 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, 50050550049486 + 50050550049487.

It is an arithmetic number, because the mean of its divisors is an integer number (50050550049487).

Almost surely, 2^{100101100098973} is an apocalyptic number.

It is an amenable number.

100101100098973 is a deficient number, since it is larger than the sum of its proper divisors (1).

100101100098973 is an equidigital number, since it uses as much as digits as its factorization.

100101100098973 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13608, while the sum is 40.

Adding to 100101100098973 its reverse (379890001101001), we get a palindrome (479991101199974).

The spelling of 100101100098973 in words is "one hundred trillion, one hundred one billion, one hundred million, ninety-eight thousand, nine hundred seventy-three".