101034953 has 2 divisors, whose sum is σ = 101034954. Its totient is φ = 101034952.

The previous prime is 101034943. The next prime is 101034979. The reversal of 101034953 is 359430101.

It is an a-pointer prime, because the next prime (101034979) can be obtained adding 101034953 to its sum of digits (26).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 71961289 + 29073664 = 8483^2 + 5392^2 .

It is an emirp because it is prime and its reverse (359430101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101034953 - 2⁴ = 101034937 is a prime.

It is not a weakly prime, because it can be changed into another prime (101034943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50517476 + 50517477.

It is an arithmetic number, because the mean of its divisors is an integer number (50517477).

Almost surely, 2^101034953 is an apocalyptic number.

It is an amenable number.

101034953 is a deficient number, since it is larger than the sum of its proper divisors (1).

101034953 is an equidigital number, since it uses as much as digits as its factorization.

101034953 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1620, while the sum is 26.

The square root of 101034953 is about 10051.6144474408. The cubic root of 101034953 is about 465.7546661862.

The spelling of 101034953 in words is "one hundred one million, thirty-four thousand, nine hundred fifty-three".