35005152101 has 2 divisors, whose sum is σ = 35005152102. Its totient is φ = 35005152100.

The previous prime is 35005152097. The next prime is 35005152103. The reversal of 35005152101 is 10125150053.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 27672655201 + 7332496900 = 166351^2 + 85630^2 .

It is a cyclic number.

It is not a de Polignac number, because 35005152101 - 2² = 35005152097 is a prime.

It is a super-2 number, since 2×35005152101² (a number of 22 digits) contains 22 as substring.

Together with 35005152103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (35005152103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17502576050 + 17502576051.

It is an arithmetic number, because the mean of its divisors is an integer number (17502576051).

Almost surely, 2^35005152101 is an apocalyptic number.

It is an amenable number.

35005152101 is a deficient number, since it is larger than the sum of its proper divisors (1).

35005152101 is an equidigital number, since it uses as much as digits as its factorization.

35005152101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 750, while the sum is 23.

The spelling of 35005152101 in words is "thirty-five billion, five million, one hundred fifty-two thousand, one hundred one".