10100976883273 has 2 divisors, whose sum is σ = 10100976883274. Its totient is φ = 10100976883272.

The previous prime is 10100976883183. The next prime is 10100976883427. The reversal of 10100976883273 is 37238867900101.

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., 7819025247504 + 2281951635769 = 2796252^2 + 1510613^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100976883273 - 2⁹ = 10100976882761 is a prime.

It is not a weakly prime, because it can be changed into another prime (10100976883573) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050488441636 + 5050488441637.

It is an arithmetic number, because the mean of its divisors is an integer number (5050488441637).

Almost surely, 2^{10100976883273} is an apocalyptic number.

It is an amenable number.

10100976883273 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100976883273 is an equidigital number, since it uses as much as digits as its factorization.

10100976883273 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3048192, while the sum is 55.

The spelling of 10100976883273 in words is "ten trillion, one hundred billion, nine hundred seventy-six million, eight hundred eighty-three thousand, two hundred seventy-three".