10610616610001 has 2 divisors, whose sum is σ = 10610616610002. Its totient is φ = 10610616610000.

The previous prime is 10610616609997. The next prime is 10610616610019. The reversal of 10610616610001 is 10001661601601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9656183353600 + 954433256401 = 3107440^2 + 976951^2 .It is also a bemirp because it and its reverse can be mirrored producing other two distinct primes, 10001991901901 and 10910919910001.

It is a cyclic number.

It is not a de Polignac number, because 10610616610001 - 2² = 10610616609997 is a prime.

It is a super-2 number, since 2×10610616610001² (a number of 27 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (10610616610201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5305308305000 + 5305308305001.

It is an arithmetic number, because the mean of its divisors is an integer number (5305308305001).

Almost surely, 2^{10610616610001} is an apocalyptic number.

It is an amenable number.

10610616610001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10610616610001 is an equidigital number, since it uses as much as digits as its factorization.

10610616610001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1296, while the sum is 29.

The spelling of 10610616610001 in words is "ten trillion, six hundred ten billion, six hundred sixteen million, six hundred ten thousand, one".