106010001105601 has 2 divisors, whose sum is σ = 106010001105602. Its totient is φ = 106010001105600.

The previous prime is 106010001105559. The next prime is 106010001105607. The reversal of 106010001105601 is 106501100010601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100077615054400 + 5932386051201 = 10003880^2 + 2435649^2 .

It is an emirp because it is prime and its reverse (106501100010601) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-106010001105601 is a prime.

It is a super-2 number, since 2×106010001105601² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106010001105607) 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, 53005000552800 + 53005000552801.

It is an arithmetic number, because the mean of its divisors is an integer number (53005000552801).

Almost surely, 2^{106010001105601} is an apocalyptic number.

It is an amenable number.

106010001105601 is a deficient number, since it is larger than the sum of its proper divisors (1).

106010001105601 is an equidigital number, since it uses as much as digits as its factorization.

106010001105601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 180, while the sum is 22.

The spelling of 106010001105601 in words is "one hundred six trillion, ten billion, one million, one hundred five thousand, six hundred one".