10632661201 has 16 divisors (see below), whose sum is σ = 11025907200. Its totient is φ = 10242691200.

The previous prime is 10632661199. The next prime is 10632661253. The reversal of 10632661201 is 10216623601.

It is a cyclic number.

It is not a de Polignac number, because 10632661201 - 2¹ = 10632661199 is a prime.

It is a super-2 number, since 2×10632661201² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10632661201.

It is not an unprimeable number, because it can be changed into a prime (10632661001) 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, 9417205 + ... + 9418333.

It is an arithmetic number, because the mean of its divisors is an integer number (689119200).

Almost surely, 2^10632661201 is an apocalyptic number.

It is an amenable number.

10632661201 is a deficient number, since it is larger than the sum of its proper divisors (393245999).

10632661201 is a wasteful number, since it uses less digits than its factorization.

10632661201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2280.

The product of its (nonzero) digits is 2592, while the sum is 28.

The spelling of 10632661201 in words is "ten billion, six hundred thirty-two million, six hundred sixty-one thousand, two hundred one".