10101100098953 has 2 divisors, whose sum is σ = 10101100098954. Its totient is φ = 10101100098952.

The previous prime is 10101100098923. The next prime is 10101100098959. The reversal of 10101100098953 is 35989000110101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5317991129929 + 4783108969024 = 2306077^2 + 2187032^2 .

It is a cyclic number.

It is not a de Polignac number, because 10101100098953 - 2⁸ = 10101100098697 is a prime.

It is not a weakly prime, because it can be changed into another prime (10101100098959) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050550049476 + 5050550049477.

It is an arithmetic number, because the mean of its divisors is an integer number (5050550049477).

Almost surely, 2^{10101100098953} is an apocalyptic number.

It is an amenable number.

10101100098953 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101100098953 is an equidigital number, since it uses as much as digits as its factorization.

10101100098953 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9720, while the sum is 38.

The spelling of 10101100098953 in words is "ten trillion, one hundred one billion, one hundred million, ninety-eight thousand, nine hundred fifty-three".