35105628121 has 2 divisors, whose sum is σ = 35105628122. Its totient is φ = 35105628120.

The previous prime is 35105628091. The next prime is 35105628137. The reversal of 35105628121 is 12182650153.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 25038315225 + 10067312896 = 158235^2 + 100336^2 .

It is a cyclic number.

It is not a de Polignac number, because 35105628121 - 2⁷ = 35105627993 is a prime.

It is not a weakly prime, because it can be changed into another prime (35105628421) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17552814060 + 17552814061.

It is an arithmetic number, because the mean of its divisors is an integer number (17552814061).

Almost surely, 2^35105628121 is an apocalyptic number.

It is an amenable number.

35105628121 is a deficient number, since it is larger than the sum of its proper divisors (1).

35105628121 is an equidigital number, since it uses as much as digits as its factorization.

35105628121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 14400, while the sum is 34.

The spelling of 35105628121 in words is "thirty-five billion, one hundred five million, six hundred twenty-eight thousand, one hundred twenty-one".