10100001019973 has 2 divisors, whose sum is σ = 10100001019974. Its totient is φ = 10100001019972.

The previous prime is 10100001019951. The next prime is 10100001020069. The reversal of 10100001019973 is 37991010000101.

10100001019973 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5060079289444 + 5039921730529 = 2249462^2 + 2244977^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100001019973 - 2⁶ = 10100001019909 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100001069973) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050000509986 + 5050000509987.

It is an arithmetic number, because the mean of its divisors is an integer number (5050000509987).

Almost surely, 2^{10100001019973} is an apocalyptic number.

It is an amenable number.

10100001019973 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100001019973 is an equidigital number, since it uses as much as digits as its factorization.

10100001019973 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1701, while the sum is 32.

The spelling of 10100001019973 in words is "ten trillion, one hundred billion, one million, nineteen thousand, nine hundred seventy-three".