10120002201 has 24 divisors (see below), whose sum is σ = 15018862664. Its totient is φ = 6561699840.

The previous prime is 10120002187. The next prime is 10120002229. The reversal of 10120002201 is 10220002101.

It can be written as a sum of positive squares in 4 ways, for example, as 3251736576 + 6868265625 = 57024^2 + 82875^2 .

It is not a de Polignac number, because 10120002201 - 2¹³ = 10119994009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10120022201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1166841 + ... + 1175481.

Almost surely, 2^10120002201 is an apocalyptic number.

It is an amenable number.

10120002201 is a deficient number, since it is larger than the sum of its proper divisors (4898860463).

10120002201 is a wasteful number, since it uses less digits than its factorization.

10120002201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12201 (or 12198 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10120002201 its reverse (10220002101), we get a palindrome (20340004302).

The spelling of 10120002201 in words is "ten billion, one hundred twenty million, two thousand, two hundred one".