101001010973 has 2 divisors, whose sum is σ = 101001010974. Its totient is φ = 101001010972.

The previous prime is 101001010841. The next prime is 101001011011. The reversal of 101001010973 is 379010100101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70268466724 + 30732544249 = 265082^2 + 175307^2 .

It is a cyclic number.

It is not a de Polignac number, because 101001010973 - 2¹⁸ = 101000748829 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101000010973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500505486 + 50500505487.

It is an arithmetic number, because the mean of its divisors is an integer number (50500505487).

Almost surely, 2^101001010973 is an apocalyptic number.

It is an amenable number.

101001010973 is a deficient number, since it is larger than the sum of its proper divisors (1).

101001010973 is an equidigital number, since it uses as much as digits as its factorization.

101001010973 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 23.

The spelling of 101001010973 in words is "one hundred one billion, one million, ten thousand, nine hundred seventy-three".