10010600610601 has 2 divisors, whose sum is σ = 10010600610602. Its totient is φ = 10010600610600.

The previous prime is 10010600610533. The next prime is 10010600610677. The reversal of 10010600610601 is 10601600601001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9990334241001 + 20266369600 = 3160749^2 + 142360^2 .

It is a cyclic number.

It is not a de Polignac number, because 10010600610601 - 2⁷ = 10010600610473 is a prime.

It is a super-2 number, since 2×10010600610601² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10010600610301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005300305300 + 5005300305301.

It is an arithmetic number, because the mean of its divisors is an integer number (5005300305301).

Almost surely, 2^{10010600610601} is an apocalyptic number.

It is an amenable number.

10010600610601 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010600610601 is an equidigital number, since it uses as much as digits as its factorization.

10010600610601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 22.

The spelling of 10010600610601 in words is "ten trillion, ten billion, six hundred million, six hundred ten thousand, six hundred one".