10610100011601 has 12 divisors (see below), whose sum is σ = 15739908125812. Its totient is φ = 6882227034336.

The previous prime is 10610100011573. The next prime is 10610100011629. The reversal of 10610100011601 is 10611000101601.

10610100011601 is a `hidden beast` number, since 1 + 0 + 61 + 0 + 1 + 0 + 0 + 0 + 1 + 1 + 601 = 666.

It is an interprime number because it is at equal distance from previous prime (10610100011573) and next prime (10610100011629).

It can be written as a sum of positive squares in 2 ways, for example, as 3961313993025 + 6648786018576 = 1990305^2 + 2578524^2 .

It is not a de Polignac number, because 10610100011601 - 2¹⁹ = 10610099487313 is a prime.

It is a super-2 number, since 2×10610100011601² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10610100011101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15931080766 + ... + 15931081431.

Almost surely, 2^{10610100011601} is an apocalyptic number.

It is an amenable number.

10610100011601 is a deficient number, since it is larger than the sum of its proper divisors (5129808114211).

10610100011601 is a wasteful number, since it uses less digits than its factorization.

10610100011601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31862162240 (or 31862162237 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

The spelling of 10610100011601 in words is "ten trillion, six hundred ten billion, one hundred million, eleven thousand, six hundred one".