101118273953 has 2 divisors, whose sum is σ = 101118273954. Its totient is φ = 101118273952.

The previous prime is 101118273857. The next prime is 101118273979. The reversal of 101118273953 is 359372811101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99441207649 + 1677066304 = 315343^2 + 40952^2 .

It is a cyclic number.

It is not a de Polignac number, because 101118273953 - 2¹⁰ = 101118272929 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101118273953.

It is not a weakly prime, because it can be changed into another prime (101118273653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50559136976 + 50559136977.

It is an arithmetic number, because the mean of its divisors is an integer number (50559136977).

Almost surely, 2^101118273953 is an apocalyptic number.

It is an amenable number.

101118273953 is a deficient number, since it is larger than the sum of its proper divisors (1).

101118273953 is an equidigital number, since it uses as much as digits as its factorization.

101118273953 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 45360, while the sum is 41.

The spelling of 101118273953 in words is "one hundred one billion, one hundred eighteen million, two hundred seventy-three thousand, nine hundred fifty-three".