101001000999973 has 2 divisors, whose sum is σ = 101001000999974. Its totient is φ = 101001000999972.

The previous prime is 101001000999947. The next prime is 101001001000033. The reversal of 101001000999973 is 379999000100101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98522637184449 + 2478363815524 = 9925857^2 + 1574282^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101001000999973 is a prime.

It is a super-4 number, since 4×101001000999973⁴ (a number of 57 digits) contains 4444 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101001000990973) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500500499986 + 50500500499987.

It is an arithmetic number, because the mean of its divisors is an integer number (50500500499987).

Almost surely, 2^{101001000999973} is an apocalyptic number.

It is an amenable number.

101001000999973 is a deficient number, since it is larger than the sum of its proper divisors (1).

101001000999973 is an equidigital number, since it uses as much as digits as its factorization.

101001000999973 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 137781, while the sum is 49.

The spelling of 101001000999973 in words is "one hundred one trillion, one billion, nine hundred ninety-nine thousand, nine hundred seventy-three".