10266666201 has 36 divisors (see below), whose sum is σ = 16316953380. Its totient is φ = 6215880000.

The previous prime is 10266666187. The next prime is 10266666233.

It is a happy number.

10266666201 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 446054400 + 9820611801 = 21120^2 + 99099^2 .

It is a de Polignac number, because none of the positive numbers 2^k-10266666201 is a prime.

It is a super-4 number, since 4×10266666201⁴ (a number of 41 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (10266666001) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1203451 + ... + 1211951.

It is an arithmetic number, because the mean of its divisors is an integer number (453248705).

Almost surely, 2^10266666201 is an apocalyptic number.

10266666201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10266666201 is a deficient number, since it is larger than the sum of its proper divisors (6050287179).

10266666201 is a wasteful number, since it uses less digits than its factorization.

10266666201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9638 (or 9624 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 10266666201 in words is "ten billion, two hundred sixty-six million, six hundred sixty-six thousand, two hundred one".