100101973 has 2 divisors, whose sum is σ = 100101974. Its totient is φ = 100101972.

The previous prime is 100101961. The next prime is 100102019. The reversal of 100101973 is 379101001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 79869969 + 20232004 = 8937^2 + 4498^2 .

It is a cyclic number.

It is not a de Polignac number, because 100101973 - 2⁵ = 100101941 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100101913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050986 + 50050987.

It is an arithmetic number, because the mean of its divisors is an integer number (50050987).

Almost surely, 2^100101973 is an apocalyptic number.

It is an amenable number.

100101973 is a deficient number, since it is larger than the sum of its proper divisors (1).

100101973 is an equidigital number, since it uses as much as digits as its factorization.

100101973 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 189, while the sum is 22.

The square root of 100101973 is about 10005.0973508507. The cubic root of 100101973 is about 464.3166020093.

Adding to 100101973 its reverse (379101001), we get a palindrome (479202974).

The spelling of 100101973 in words is "one hundred million, one hundred one thousand, nine hundred seventy-three".