101001010019873 has 2 divisors, whose sum is σ = 101001010019874. Its totient is φ = 101001010019872.

The previous prime is 101001010019863. The next prime is 101001010019893. The reversal of 101001010019873 is 378910010100101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95392179339664 + 5608830680209 = 9766892^2 + 2368297^2 .

It is an emirp because it is prime and its reverse (378910010100101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101001010019873 - 2⁶ = 101001010019809 is a prime.

It is a super-2 number, since 2×101001010019873² (a number of 29 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (101001010019863) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500505009936 + 50500505009937.

It is an arithmetic number, because the mean of its divisors is an integer number (50500505009937).

Almost surely, 2^{101001010019873} is an apocalyptic number.

It is an amenable number.

101001010019873 is a deficient number, since it is larger than the sum of its proper divisors (1).

101001010019873 is an equidigital number, since it uses as much as digits as its factorization.

101001010019873 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1512, while the sum is 32.

Adding to 101001010019873 its reverse (378910010100101), we get a palindrome (479911020119974).

The spelling of 101001010019873 in words is "one hundred one trillion, one billion, ten million, nineteen thousand, eight hundred seventy-three".