10681177200201 has 16 divisors (see below), whose sum is σ = 15825894187200. Its totient is φ = 7119917216064.

The previous prime is 10681177200193. The next prime is 10681177200257. The reversal of 10681177200201 is 10200277118601.

10681177200201 is a `hidden beast` number, since 1 + 0 + 6 + 81 + 177 + 200 + 201 = 666.

It is not a de Polignac number, because 10681177200201 - 2³ = 10681177200193 is a prime.

It is a super-2 number, since 2×10681177200201² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10681177200101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23873811 + ... + 24317096.

It is an arithmetic number, because the mean of its divisors is an integer number (989118386700).

Almost surely, 2^{10681177200201} is an apocalyptic number.

It is an amenable number.

10681177200201 is a deficient number, since it is larger than the sum of its proper divisors (5144716986999).

10681177200201 is an equidigital number, since it uses as much as digits as its factorization.

10681177200201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48199125 (or 48199119 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 36.

The spelling of 10681177200201 in words is "ten trillion, six hundred eighty-one billion, one hundred seventy-seven million, two hundred thousand, two hundred one".