101011000099873 has 2 divisors, whose sum is σ = 101011000099874. Its totient is φ = 101011000099872.

The previous prime is 101011000099859. The next prime is 101011000099901. The reversal of 101011000099873 is 378990000110101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 77504570254224 + 23506429845649 = 8803668^2 + 4848343^2 .

It is a cyclic number.

It is not a de Polignac number, because 101011000099873 - 2²¹ = 101010998002721 is a prime.

It is a super-2 number, since 2×101011000099873² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101011000099853) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505500049936 + 50505500049937.

It is an arithmetic number, because the mean of its divisors is an integer number (50505500049937).

Almost surely, 2^{101011000099873} is an apocalyptic number.

It is an amenable number.

101011000099873 is a deficient number, since it is larger than the sum of its proper divisors (1).

101011000099873 is an equidigital number, since it uses as much as digits as its factorization.

101011000099873 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 13608, while the sum is 40.

The spelling of 101011000099873 in words is "one hundred one trillion, eleven billion, ninety-nine thousand, eight hundred seventy-three".