100100010128953 has 2 divisors, whose sum is σ = 100100010128954. Its totient is φ = 100100010128952.

The previous prime is 100100010128947. The next prime is 100100010129013. The reversal of 100100010128953 is 359821010001001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 90652335407104 + 9447674721849 = 9521152^2 + 3073707^2 .

It is a cyclic number.

It is not a de Polignac number, because 100100010128953 - 2⁹ = 100100010128441 is a prime.

It is not a weakly prime, because it can be changed into another prime (100100010125953) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050005064476 + 50050005064477.

It is an arithmetic number, because the mean of its divisors is an integer number (50050005064477).

Almost surely, 2^{100100010128953} is an apocalyptic number.

It is an amenable number.

100100010128953 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100010128953 is an equidigital number, since it uses as much as digits as its factorization.

100100010128953 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2160, while the sum is 31.

Adding to 100100010128953 its reverse (359821010001001), we get a palindrome (459921020129954).

The spelling of 100100010128953 in words is "one hundred trillion, one hundred billion, ten million, one hundred twenty-eight thousand, nine hundred fifty-three".