104653545072101 has 2 divisors, whose sum is σ = 104653545072102. Its totient is φ = 104653545072100.

The previous prime is 104653545072029. The next prime is 104653545072103. The reversal of 104653545072101 is 101270545356401.

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., 58874775540100 + 45778769532001 = 7672990^2 + 6766001^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-104653545072101 is a prime.

Together with 104653545072103, 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 (104653545072103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52326772536050 + 52326772536051.

It is an arithmetic number, because the mean of its divisors is an integer number (52326772536051).

Almost surely, 2^{104653545072101} is an apocalyptic number.

It is an amenable number.

104653545072101 is a deficient number, since it is larger than the sum of its proper divisors (1).

104653545072101 is an equidigital number, since it uses as much as digits as its factorization.

104653545072101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 504000, while the sum is 44.

The spelling of 104653545072101 in words is "one hundred four trillion, six hundred fifty-three billion, five hundred forty-five million, seventy-two thousand, one hundred one".