101100009973 has 2 divisors, whose sum is σ = 101100009974. Its totient is φ = 101100009972.

The previous prime is 101100009887. The next prime is 101100009977. The reversal of 101100009973 is 379900001101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89603238244 + 11496771729 = 299338^2 + 107223^2 .

It is a cyclic number.

It is not a de Polignac number, because 101100009973 - 2¹³ = 101100001781 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101100009977) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550004986 + 50550004987.

It is an arithmetic number, because the mean of its divisors is an integer number (50550004987).

Almost surely, 2^101100009973 is an apocalyptic number.

It is an amenable number.

101100009973 is a deficient number, since it is larger than the sum of its proper divisors (1).

101100009973 is an equidigital number, since it uses as much as digits as its factorization.

101100009973 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1701, while the sum is 31.

The spelling of 101100009973 in words is "one hundred one billion, one hundred million, nine thousand, nine hundred seventy-three".