102133113021601 has 2 divisors, whose sum is σ = 102133113021602. Its totient is φ = 102133113021600.

The previous prime is 102133113021559. The next prime is 102133113021617. The reversal of 102133113021601 is 106120311331201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 51413775715600 + 50719337306001 = 7170340^2 + 7121751^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102133113021601 is a prime.

It is not a weakly prime, because it can be changed into another prime (102133113021691) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51066556510800 + 51066556510801.

It is an arithmetic number, because the mean of its divisors is an integer number (51066556510801).

Almost surely, 2^{102133113021601} is an apocalyptic number.

It is an amenable number.

102133113021601 is a deficient number, since it is larger than the sum of its proper divisors (1).

102133113021601 is an equidigital number, since it uses as much as digits as its factorization.

102133113021601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 25.

Adding to 102133113021601 its reverse (106120311331201), we get a palindrome (208253424352802).

The spelling of 102133113021601 in words is "one hundred two trillion, one hundred thirty-three billion, one hundred thirteen million, twenty-one thousand, six hundred one".