101608000061 has 2 divisors, whose sum is σ = 101608000062. Its totient is φ = 101608000060.

The previous prime is 101608000057. The next prime is 101608000097. The reversal of 101608000061 is 160000806101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101512332100 + 95667961 = 318610^2 + 9781^2 .

It is a cyclic number.

It is not a de Polignac number, because 101608000061 - 2² = 101608000057 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101608080061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50804000030 + 50804000031.

It is an arithmetic number, because the mean of its divisors is an integer number (50804000031).

Almost surely, 2^101608000061 is an apocalyptic number.

It is an amenable number.

101608000061 is a deficient number, since it is larger than the sum of its proper divisors (1).

101608000061 is an equidigital number, since it uses as much as digits as its factorization.

101608000061 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 23.

Adding to 101608000061 its reverse (160000806101), we get a palindrome (261608806162).

The spelling of 101608000061 in words is "one hundred one billion, six hundred eight million, sixty-one", and thus it is an aban number.