101101010009953 has 2 divisors, whose sum is σ = 101101010009954. Its totient is φ = 101101010009952.

The previous prime is 101101010009911. The next prime is 101101010010001. The reversal of 101101010009953 is 359900010101101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 87767068454464 + 13333941555489 = 9368408^2 + 3651567^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101101010009953 is a prime.

It is not a weakly prime, because it can be changed into another prime (101101010009653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550505004976 + 50550505004977.

It is an arithmetic number, because the mean of its divisors is an integer number (50550505004977).

Almost surely, 2^{101101010009953} is an apocalyptic number.

It is an amenable number.

101101010009953 is a deficient number, since it is larger than the sum of its proper divisors (1).

101101010009953 is an equidigital number, since it uses as much as digits as its factorization.

101101010009953 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1215, while the sum is 31.

The spelling of 101101010009953 in words is "one hundred one trillion, one hundred one billion, ten million, nine thousand, nine hundred fifty-three".