10100101010953 has 2 divisors, whose sum is σ = 10100101010954. Its totient is φ = 10100101010952.

The previous prime is 10100101010759. The next prime is 10100101011067. The reversal of 10100101010953 is 35901010100101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8314381940089 + 1785719070864 = 2883467^2 + 1336308^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100101010953 - 2¹⁷ = 10100100879881 is a prime.

It is not a weakly prime, because it can be changed into another prime (10100101010653) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050050505476 + 5050050505477.

It is an arithmetic number, because the mean of its divisors is an integer number (5050050505477).

Almost surely, 2^{10100101010953} is an apocalyptic number.

It is an amenable number.

10100101010953 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100101010953 is an equidigital number, since it uses as much as digits as its factorization.

10100101010953 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 135, while the sum is 22.

The spelling of 10100101010953 in words is "ten trillion, one hundred billion, one hundred one million, ten thousand, nine hundred fifty-three".