100101009973 has 2 divisors, whose sum is σ = 100101009974. Its totient is φ = 100101009972.

The previous prime is 100101009959. The next prime is 100101010013. The reversal of 100101009973 is 379900101001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 76342795204 + 23758214769 = 276302^2 + 154137^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100101009973 is a prime.

It is a super-2 number, since 2×100101009973² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100101009923) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050504986 + 50050504987.

It is an arithmetic number, because the mean of its divisors is an integer number (50050504987).

Almost surely, 2^100101009973 is an apocalyptic number.

It is an amenable number.

100101009973 is a deficient number, since it is larger than the sum of its proper divisors (1).

100101009973 is an equidigital number, since it uses as much as digits as its factorization.

100101009973 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 31.

The spelling of 100101009973 in words is "one hundred billion, one hundred one million, nine thousand, nine hundred seventy-three".